{VERSION 2 3 "APPLE_PPC_MAC" "2.3" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 
0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 256 "" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
257 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 
0 2 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 2 2 0 0 0 0 0 0 
0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 2 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 
261 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 1 14 0 0 
0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 1 14 0 0 0 0 0 0 0 0 0 0 
0 0 0 }{CSTYLE "" -1 264 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "
" -1 265 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 266 "" 0 1 0 
0 0 0 2 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 }{CSTYLE "" 
-1 269 "" 0 1 0 0 0 0 2 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 
0 0 2 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 271 "" 0 1 0 0 0 0 2 2 0 0 0 0 0 
0 0 }{CSTYLE "" -1 272 "" 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" 
-1 273 "" 0 1 0 0 0 0 2 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 0 1 0 0 
0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 2 2 0 0 0 0 0 
0 0 }{CSTYLE "" -1 277 "" 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" 
-1 279 "" 0 1 0 0 0 0 2 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 280 "" 0 1 0 0 
0 0 2 2 0 0 0 0 0 0 0 }{CSTYLE "" -1 281 "" 0 1 0 0 0 0 2 0 0 0 0 0 0 
0 0 }{CSTYLE "" -1 282 "" 0 1 0 0 0 0 2 2 0 0 0 0 0 0 0 }{CSTYLE "" 
-1 283 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 284 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 285 "" 0 1 0 0 0 0 0 2 0 0 0 0 0 
0 0 }{CSTYLE "" -1 286 "" 0 1 0 0 0 0 2 2 0 0 0 0 0 0 0 }{PSTYLE "Norm
al" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 
-1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 
-1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 0 }1 0 0 -1 -1 -1 0 0 0 0 
0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 
0 1 0 0 0 0 0 0 0 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 2" 
3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 4 
4 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 3" 4 5 1 {CSTYLE "" -1 -1 "" 1 
12 0 0 0 0 1 0 0 0 0 0 0 0 0 }0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 }{PSTYLE "
Warning" 2 7 1 {CSTYLE "" -1 -1 "" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 }0 
0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Error" 7 8 1 {CSTYLE "" -1 -1 
"" 0 1 255 0 255 1 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 
}{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 
{CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 
0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 
0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Headi
ng 4" 5 20 1 {CSTYLE "" -1 -1 "" 1 10 0 0 0 0 1 0 0 0 0 0 0 0 0 }0 0 
0 -1 0 0 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 
0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "
" 0 257 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 
-1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 258 1 {CSTYLE "" -1 -1 "" 0 1 0 
0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 
11 259 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 
-1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 260 1 {CSTYLE "" -1 -1 "" 0 1 0 
0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 
11 261 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 
-1 -1 0 0 0 0 0 0 -1 0 }}
{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT 256 20 "Introduction a Maple" }
}{PARA 260 "" 0 "" {TEXT -1 0 "" }}{PARA 260 "" 0 "" {TEXT -1 12 "Feli
ce Ronga" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 257 "" 0 "" {TEXT 
-1 50 "Cliquez sur les boutons \"+\" pour deployer le texte" }}{PARA 
0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT 263 13 "Mode \+
d'emploi" }}{PARA 0 "" 0 "" {TEXT -1 198 "Nous avons essaye de rassemb
ler dans cette feuille de travail quelques elements de base de Maple, \+
qui est un programme permettant de faire des manipulations mathematiqu
es symboliques et numeriques. " }}{PARA 0 "" 0 "" {TEXT -1 21 "Vous et
es invites a :" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 95 "1 - creer votre propre feuille de travail (\"worksheet\")
, par la commande \"new\" du menu fichier." }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 212 "2 - lire les notes de la feuil
le presente , en faisant au fur et a mesure vos propres experiences su
r votre feuille a vous. Vous pouvez copier de cette feuille et coller \+
sur la votre, puis modifier a votre guise." }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 144 "3 - faire au moins les exercic
es qui vous sont proposes sur votre feuille. Ceux qui sont marques d'u
n * peuvent etre sautes en premiere lecture." }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 4 "--->" }{TEXT 284 26 " Gerez bien
 votre temps : " }{TEXT -1 103 "dediez environ 20 minutes a chacun des
 points suivants. Faites au moins un exercice dans chaque groupe." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 5 "---> " }
{TEXT 283 9 "Attention" }{TEXT -1 284 " : meme si les essais que vous \+
avez faits vous paraissent insignifiants, ils risquent d'utiliser beau
coup de memoire. En cas de probleme (comportement suspect, ralentissem
ent), il convient de quitter Maple (apres avoir eventuellement sauve v
otre feuille de travail) et de le relancer." }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 78 "Les caracteres accentues ont et
e supprimes pour des raisons d'incompatibilite." }}}{SECT 1 {PARA 3 "
" 0 "" {TEXT 264 9 "1. Depart" }}{PARA 0 "" 0 "" {TEXT -1 397 "Dans Ma
ple, les commandes se terminent avec un point virgule et sont envoyees
 en appuyant sur la touche Carriage Return. Une ligne de commandes doi
t commencer par le signe \"plus grand\" > . Pour engendrer une ligne s
usceptible de contenir une commande (plutot que du texte), cliquez sur
 le symbole \"[>\" dans la barre de menu; sur une nouvelle feuille de \+
travail ce n'est en principe pas necessaire." }}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 4 "2+3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"&" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 95 "Si on veut supprimer l'impression \+
du resultat, on met deux points a la place du point virgule :" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "x:=2:y:=x^2;y+x;" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%\"yG\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#\"\"'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 120 "Si on veut de l'aide
 sur une commande ou une procedure, taper ?\"nom\" (ici il n'est pas n
ecessaire de mettre un ; ou :) :" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 2 "?+" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 9 "ou encore" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "?plot" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 70 "On peut aussi ecrire (notez la presence du point v
irgule cette fois) :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "hel
p(plot);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 156 "Enfin, on peut utili
ser l'aide en ligne de Maple, qui est tres complete et fournit beaucou
p d'exemple, par mot-cle ou par sujet. Essayez aussi la commande :" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "help(help);" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT 265 10 "Remarque. " }{TEXT -1 274 "Lorsqu'on ouv
re une feuille de travail telle que celle-ci, Maple n'evalue pas autom
atiquement les expressions qui s'y trouvent. Cela veut dire que si on \+
veut evaluer une commande, il faut au prealable evaluer toutes les com
mandes precedentes qui sont utilisees. Par exemple " }{TEXT 267 1 ":" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "a:=3;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"aG\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
7 "b:=a+2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG,&%\"aG\"\"\"\"\"#
F'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 104 "Ici, la commande a:=3 n'as
 pas encore ete evaluee (ce n'est pas visible, mais il faut me croire)
. Mais :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "a:=3;" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%\"aG\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 2 "b;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"&" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 63 "Maple vous offre la possibilte de \+
repartir a zero; la commande " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 8 "restart;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 214 "efface les vale
urs assignees aux variables et les eventuelles librairies chargees en \+
memoire (par exemple avec la commande \"with(plots)\", utilisee au der
nier paragraphe \"Courbes donnees par une equation\"). Ainsi : " }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "a;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#%\"aG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 49 "La variab
le \"a\" n'a plus qu'une valeur symbolique" }}}}{SECT 1 {PARA 3 "" 0 "
" {TEXT 257 27 "2. Calculs avec les nombres" }}{SECT 1 {PARA 4 "" 0 "
" {TEXT -1 8 "Exemples" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "2+2
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"%" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 4 "2*4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\")" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "Les guillements \" rappellent le d
ernier resultat obtenu :" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "\"+2;" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#\"#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "9/7;" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6##\"\"*\"\"(" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 147 "Si on veut le resultat sou forme de nombre decimal, il f
aut utiliser la fonction \"evalf\" (\"f\" pour \"float\", i.e. nombre \+
reel a virgule flottante) :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
9 "evalf(\");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+'G9dG\"!\"*" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 33 "et si on veut plus de decimales :
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "evalf(9/7,20);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"5Vr&G9dG9dG\"!#>" }}}{EXCHG {PARA 
259 "" 1 "" {TEXT -1 73 "On remarque maintenant que les decimales ont \+
une periode, de longueur 6. " }}{PARA 258 "" 0 "" {TEXT -1 47 "Racine \+
carree se dit \"square root\" en anglais :" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 8 "sqrt(2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$\"\"##
\"\"\"F$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalf(\");" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+iN@99!\"*" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 10 "sqrt(2.0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$
\"+iN@99!\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 237 "On remarque ci-d
essus que \"sqrt(2)\" est conserve sous forme symbolique par Maple; pa
r contre, si on ecrit \"sqrt(2.0)\"  le 2.0 force Maple a travailler a
vec des representation decimales approchees de nombres reels (voir aus
si ci-dessous)." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 66 "Si on veut d'autres racines, on utilise l'ecriture expone
ntielle :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "2^(1/3);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#*$\"\"##\"\"\"\"\"$" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 9 "evalf(\");" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#$\"+]5#*f7!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "3^2;
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"*" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 117 "Certains nombres sont predefinis, comme le nombre \"Pi\"
, qui est la moitie de la circonference du cercle  de rayon 1 :" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "Pi;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#%#PiG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "eva
lf(Pi);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+aEfTJ!\"*" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "evalf(Pi,20);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#$\"5&QKz*e`EfTJ!#>" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
90 "ou le nombre d'Euler \"e\", qui n'a pas de nom particulier dans Ma
ple (contrairement a Pi) :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
7 "exp(1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$expG6#\"\"\"" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalf(\",30);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#$\"?NruGg`BX!f%G=G=F!#H" }}}{EXCHG {PARA 0 "" 0 
"" {TEXT -1 97 "Maple est sensible aux majuscules-minuscules. Mais Map
le n'est pas contrariant; si vous ecrivez :" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 3 "pi;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%#piG" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "evalf(pi);" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#%#piG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "P
i:=1;" }}{PARA 8 "" 1 "" {TEXT -1 54 "Error, attempting to assign to `
Pi` which is protected" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "pi
:=1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#piG\"\"\"" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 46 "Maple pense que pi  est une nouvelle variable.
" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
42 "Pour assigner un nombre a une variable x :" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 11 "x:=sqrt(2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%\"xG*$\"\"##\"\"\"F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "x
^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"#" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 13 "y:=sqrt(2.0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%\"yG$\"+iN@99!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "y^2;
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+********>!\"*" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 12 "Ha, ha, ha !" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 81 "Decomposition en produit \+
de facteurs premiers (\"ifactor=integer factorisation\") :" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "ifactor(1998);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#*(-%!G6#\"\"#\"\"\"-F%6#\"\"$F+-F%6#\"#PF(" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "ifactor(2003);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#-%!G6#\"%.?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
14 "isprime(2003);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%%trueG" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "isprime(6^5+5^6);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#%&falseG" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 17 "ifactor(6^5+5^6);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
*&-%!G6#\"\"(\"\"\"-F%6#\"%VLF(" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 9 "Ex
ercices" }}{SECT 1 {PARA 5 "" 0 "" {TEXT 259 98 "Ecrire sous forme de \+
fraction le nombre x=2.123123123(periodique). Indication : calculez 10
00*x-x." }}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 8 "Solution" }}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "x:=2.123123;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"xG$\"(BJ7#!\"'" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 18 "milx:=2123.123123;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%%milxG$\"+BJ7B@!\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "d
en:=milx-x;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$denG$\"++++@@!\"'" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "r:=den/999;" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%\"rG$\"+BJ7B@!\"*" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 19 "evalf(den/999,100);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#$\"_qBJ7BJ7BJ7BJ7BJ7BJ7BJ7BJ7BJ7BJ7BJ7BJ7BJ7BJ7BJ7BJ7B@!#**" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 59 "Il semblerait que l'on ait gagne, \+
malgre que l'on a triche!" }}}}}{SECT 1 {PARA 5 "" 0 "" {TEXT 260 32 "
Nombres premiers, factorisation." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 40 "Trouver le nombre premier qui suit 1003.
" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 237 "*Soi
t F_n=2^2^n+1. Pour quelles valeurs de n le nombre F_n est-il premier \+
? Si non, trouver sa factorisation. Essayez pour n<=6; ne vous laisez \+
pas impressioner par Maple : il travaille avec des tables de nombres p
remiers toutes faites. " }}{PARA 0 "" 0 "" {TEXT -1 120 "La factorisat
ion de F_7 a ete trouvee en 1975 , celle de  F_8 en 1981, celle de F_9
 en 1993. On ne connait rien de plus." }}{PARA 0 "" 0 "" {TEXT -1 98 "
Il convient ici de definir une fonction F(n)=2^(2^n)+1, ce qui est exp
lique au paragraphe suivant." }}}{SECT 1 {PARA 5 "" 0 "" {TEXT 280 31 
"*Testez le theoreme de Fermat :" }}{PARA 0 "" 0 "" {TEXT -1 85 "b^(p-
1) est congru a 1 modulo p, si p est un nombre premier et que b est pr
emier a p." }}{PARA 0 "" 0 "" {TEXT -1 83 "Utiliser la division sur le
s entiers (\"iquo\" donne le quotient et \"irem\" le reste)." }}}
{SECT 1 {PARA 5 "" 0 "" {TEXT 258 14 "Approximation." }}{PARA 5 "" 0 "
" {TEXT 270 157 "Calculez quelques valeurs de (1+1/n)^n et comparez av
ec la valeur donnee par Maple a exp(1).  Utilisez la notion de fonctio
n expliquee au paragraphe suivant." }}}}}{SECT 1 {PARA 3 "" 0 "" 
{TEXT 261 48 "3. Expressions symboliques, fonctions, equations" }}
{SECT 1 {PARA 4 "" 0 "" {TEXT -1 8 "Exemples" }}{SECT 1 {PARA 5 "" 0 "
" {TEXT -1 23 "Expressions symboliques" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 8 "(a+b)^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$,&%\"aG
\"\"\"%\"bGF&\"\"#" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "r:=expand(\")
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"rG,(*$%\"aG\"\"#\"\"\"*&F'F)%
\"bGF)F(*$F+F(F)" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "factor(r);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#*$,&%\"aG\"\"\"%\"bGF&\"\"#" }}{PARA 
0 "> " 0 "" {MPLTEXT 1 0 19 "s:=(a^2-b^2)/(a+b);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"sG*&,&*$%\"aG\"\"#\"\"\"*$%\"bGF)!\"\"F*,&F(F*F,F*F
-" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(s);" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#,&%\"aG\"\"\"%\"bG!\"\"" }}{PARA 0 "" 0 "" {TEXT -1 
157 "Maple considere r et s comme des expressions en les variables sym
boliques aet b. Pour remplacer les symboles par des valeurs on utilise
 la fonction \"subs\" : " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "subs(a=
1,r);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(\"\"\"F$%\"bG\"\"#*$F%F&F$
" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "subs(a=2,b=1,r);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#\"\"*" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}
{SECT 1 {PARA 5 "" 0 "" {TEXT -1 9 "Fonctions" }}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 27 "Definition d'une fonction :" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 12 "f:=x->x^2-1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
\"fG:6#%\"xG6\"6$%)operatorG%&arrowGF(,&*$9$\"\"#\"\"\"!\"\"F0F(F(" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "f(1);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "g:=
(x,y)->x^2+y^2-1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG:6$%\"xG%\"
yG6\"6$%)operatorG%&arrowGF),(*$9$\"\"#\"\"\"*$9%F0F1!\"\"F1F)F)" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "g(0,1);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"\"!" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 
{PARA 5 "" 0 "" {TEXT -1 42 "Difference entre expressions et fonctions
." }}{PARA 0 "" 0 "" {TEXT -1 161 "Une expression est liee aux symbole
s utilises dans sa definition; dans une fonction, au contraire, le nom
 du symbole representant la variable peut etre modifie :" }}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "f(u);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#,&*$%\"uG\"\"#\"\"\"F'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 20 "h:=(x,y)->x^2-y^3+1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"hG
:6$%\"xG%\"yG6\"6$%)operatorG%&arrowGF),(*$9$\"\"#\"\"\"*$9%\"\"$!\"\"
F1F1F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "h(y,x);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$%\"yG\"\"#\"\"\"*$%\"xG\"\"$!\"\"F
'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "h(u,v);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#,(*$%\"uG\"\"#\"\"\"*$%\"vG\"\"$!\"\"F'F'" }}}}
{SECT 1 {PARA 5 "" 0 "" {TEXT -1 9 "Equations" }}{PARA 5 "" 0 "" 
{TEXT 286 28 "Pour resoudre une equation :" }}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 17 "solve(x^2-1=0,x);" }}{PARA 0 "" 0 "" {TEXT -1 0 "" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "6$\"\"\"!\"\"" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 21 "solve(x^2+y^2-1=0,x);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$*$,&\"\"\"F%*$%\"yG\"\"#!\"\"#F%F(,$F#F)" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "solve(\{x^2+y^2-1=0,x=y\},\{x,y\});
" }}{PARA 11 "" 1 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}
{PARA 0 "" 0 "" {TEXT -1 40 "On peut aussi utiliser d'autres formes :
" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "solve(x^2+x-1,x);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$\"\"&#\"\"\"\"\"#F&#!\"\"F(F',&F)F
'F$F)" }}}{PARA 0 "" 0 "" {TEXT -1 59 "ce qui montre que le signe \"=0
\" est facultatif; ou encore :" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 17 "solve(x^2+x=1,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&*$\"\"&#
\"\"\"\"\"#F&#!\"\"F(F',&F)F'F$F)" }}}{PARA 0 "" 0 "" {TEXT -1 40 "Les
 solutions peuvent etre imaginaires :" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 17 "solve(x^2+x+1,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$
,&#!\"\"\"\"#\"\"\"*&%\"IGF'\"\"$#F'F&F+,&F$F'F(F$" }}}{PARA 0 "" 0 "
" {TEXT -1 27 "ou \"I\" est la racine de -1." }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{EXCHG {PARA 261 "" 1 "" {TEXT -1 86 "Si on tient a avoir de
s solutions approchees, on utilise \"fsolve\" (\"f\" pour \"float\") :
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "fsolve(\{x^2+y^2-1=0,x=
y\},\{x,y\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\"yG$!+7y1rq!#5/%
\"xGF&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "solve(exp(x)=2,x)
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%#lnG6#\"\"#" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 19 "fsolve(exp(x)=2,x);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#$\"+1=ZJp!#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 17 "Co
ntrolons (??) :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "evalf(ln
(2),20);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"5U4`%*f0=ZJp!#?" }}}
{PARA 0 "" 0 "" {TEXT -1 109 "Les solutions sont donnees par Maple sou
s forme de liste. Voici comment acceder aux solutions individuelles :
" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "sols:=solve(x^3-2*x+1,x)
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%solsG6%\"\"\",&*$\"\"&#F&\"\"#
F*#!\"\"F+F&,&F,F&F(F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "so
ls[1];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 8 "sols[3];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&
#!\"\"\"\"#\"\"\"*$\"\"&#F'F&F$" }{TEXT -1 0 "" }}}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 1 {PARA 5 "" 0 
"" {TEXT -1 11 "Derivations" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 72 "Pou
r deriver une fonction (d'abord on aimerait se rappeler qui est g)  :
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "print(g);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#:6$%\"xG%\"yG6\"6$%)operatorG%&arrowGF',(*$9$\"
\"#\"\"\"*$9%F.F/!\"\"F/F'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 15 "diff(g(x,y),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$%\"xG\"\"#
" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 55 "Mais on peut changer le nom d
es variables, si on veut :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
15 "diff(g(u,v),u);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$%\"uG\"\"#" }
}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "D'autres exemples :" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "diff(diff(exp(x^2+y^2),x),y);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(%\"xG\"\"\"%\"yGF&-%$expG6#,&*$F%
\"\"#F&*$F'F-F&F&\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "d
iff(diff(exp(x^2+y^2),y),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(%
\"xG\"\"\"%\"yGF&-%$expG6#,&*$F%\"\"#F&*$F'F-F&F&\"\"%" }}}{PARA 4 "" 
0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 65 "On peut aussi
 exprimer les derivees successives plus simplement :" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 25 "diff(sin(x^2+y^2),x,y,y);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#,&*(-%$cosG6#,&*$%\"xG\"\"#\"\"\"*$%\"yGF+F,F,F.F+
F*F,!\")*&-%$sinGF'F,F*F,!\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 25 "diff(sin(x^2+y^2),y,x,y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*
(-%$cosG6#,&*$%\"xG\"\"#\"\"\"*$%\"yGF+F,F,F.F+F*F,!\")*&-%$sinGF'F,F*
F,!\"%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 46 "Enfin, on peut aussi de
river des expressions :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "p
rint(r);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$%\"aG\"\"#\"\"\"*&F%F'
%\"bGF'F&*$F)F&F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "diff(r
,a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&%\"aG\"\"#%\"bGF%" }}}{PARA 
0 "" 0 "" {TEXT -1 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 9 "Exerci
ces" }}{SECT 1 {PARA 5 "" 0 "" {TEXT 271 21 "*Approximation de Pi." }}
{PARA 0 "" 0 "" {TEXT -1 101 "Definir une fonction f(n)=4*(1-1/3+1/5-1
/7...) et se convaincre que f(n)->Pi si n tend vers l'infini." }}
{PARA 0 "" 0 "" {TEXT -1 97 "Suggestion : utiliser la procedure de map
le \"sum(...)\";  faites \"help(sum)\" pour savoir comment. " }}}
{SECT 1 {PARA 5 "" 0 "" {TEXT 266 96 "Resoudre l'equation 2*x^3+x+7=0.
 Remplacer les solutions trouvees dans l'equation pour verifier." }}
{SECT 1 {PARA 20 "" 0 "" {TEXT 268 8 "Solution" }}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 14 "eq:=2*x^2+x-7;" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#>%#eqG,(*$%\"xG\"\"#F(F'\"\"\"!\"(F)" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 20 "sols:=solve(eq=0,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%%solsG6$,&#!\"\"\"\"%\"\"\"*$\"#d#F*\"\"##F*F),&F'F*F+F'" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "zero:=subs(x=sols[1],eq);" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%zeroG,(*$,&#!\"\"\"\"%\"\"\"*$\"#d
#F+\"\"##F+F*F/F/#!#HF*F+F,F0" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 21 "
Est-ce vraiment nul ?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "ev
alf(zero);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"\"\"!\"*" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 44 "C'est presque nul. Si on veut etre precis
 : " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "simplify(zero);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}}}{SECT 1 {PARA 5 "" 0 "" 
{TEXT 269 22 "Dire si les polynomes " }{TEXT 272 19 "f:=x^3-6*x^2+11*x
-6" }{TEXT 273 4 " et " }{TEXT 274 21 "g:=x^4-15*x^2+10*x+24" }{TEXT 
275 50 " ont un facteur commun. Simplifier le quotient f/g" }{TEXT -1 
1 "." }}{SECT 1 {PARA 20 "" 0 "" {TEXT 277 1 "S" }{TEXT -1 7 "olution
" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "f:=x^3-6*x^2+11*x-6;g:=x
^4-15*x^2+10*x+24;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,**$%\"xG
\"\"$\"\"\"*$F'\"\"#!\"'F'\"#6F,F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%\"gG,**$%\"xG\"\"%\"\"\"*$F'\"\"#!#:F'\"#5\"#CF)" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 20 "factor(f);factor(g);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#*(,&%\"xG\"\"\"!\"\"F&F&,&F%F&!\"#F&F&,&F%F&!\"$F&F&" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#**,&%\"xG\"\"\"\"\"%F&F&,&F%F&!\"#F&F
&,&F%F&!\"$F&F&,&F%F&F&F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
14 "simplify(f/g);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&%\"xG\"\"\"!
\"\"F&F&,(*$F%\"\"#F&F%\"\"&\"\"%F&F'" }}}}}{SECT 1 {PARA 5 "" 0 "" 
{TEXT 279 5 "Soit " }{TEXT 281 33 "f(x,y,z)=x^2*y^2*z^3-sin(y^2)*x*z" 
}{TEXT 282 85 ". Verifier l'independance de l'ordre de derivation pour
 les derivees  d'ordre 2, 3..." }}}}}{SECT 0 {PARA 3 "" 0 "" {TEXT 
262 13 "4. Graphiques" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 24 "Fonction
s d'une variable" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "f:=x->x^
3-x;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG:6#%\"xG6\"6$%)operatorG
%&arrowGF(,&*$9$\"\"$\"\"\"F.!\"\"F(F(" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 19 "plot(f(x),x=-2..2);" }}{PARA 13 "" 1 "" {INLPLOT "6%-
%'CURVESG6$7S7$$!\"#\"\"!$!\"'F*7$$!1LLL$Q6G\">!#:$!1(Q82bte3&F07$$!1n
m;M!\\p$=F0$!1MW)*p#=;O%F07$$!1LLL))Qj^<F0$!1\"=W/[mFi$F07$$!1LLL=Kvl;
F0$!1p*GI^oi&HF07$$!1nm;C2G!e\"F0$!1q^#)[S8mBF07$$!1LL$3yO5]\"F0$!1^8-
Gj'4)=F07$$!1++]nU)*=9F0$!1b$3vvj\"Q9F07$$!1LL$3WDTL\"F0$!1LX58?ZS5F07
$$!1++]d(Q&\\7F0$!1y`vf'\\U,(!#;7$$!1nmmc4`i6F0$!1Z#*)R<Vg3%Fen7$$!1LL
LQW*e3\"F0$!1#*)z%p:cX>Fen7$$!1,+++()>'***Fen$\"1b]x%el#)f(!#>7$$!1+++
+0\"*H\"*Fen$\"1+D3T$\\'>:Fen7$$!1++++83&H)Fen$\"1*>rUvqte#Fen7$$!1LLL
3k(p`(Fen$\"1[^Q\"e?bD$Fen7$$!1nmmmj^NmFen$\"15K1rL*Qr$Fen7$$!1ommm9'=
(eFen$\"1D=G:mJZQFen7$$!1,++v#\\N)\\Fen$\"1WqJpn%eu$Fen7$$!1pmmmCC(>%F
en$\"1+OT&z?yX$Fen7$$!1*****\\FRXL$Fen$\"10qiynwjHFen7$$!1+++D=/8DFen$
\"19)RRqLVN#Fen7$$!1mmm;a*el\"Fen$\"1%\\Ug$4\\5;Fen7$$!1pmm;Wn(o)!#<$
\"1eMO(f.@i)F[s7$$!1qLLL$eV(>!#=$\"1f_5P1Nu>Fas7$$\"1Mmm;f`@')F[s$!1&)
e:!G^ub)F[s7$$\"1)****\\nZ)H;Fen$!1'=M_M_le\"Fen7$$\"1lmm;$y*eCFen$!1r
z?kVH5BFen7$$\"1*******R^bJ$Fen$!1+9Dxn2^HFen7$$\"1'*****\\5a`TFen$!1k
tVmh(pV$Fen7$$\"1(****\\7RV'\\Fen$!1rx/![%*3u$Fen7$$\"1'*****\\@fkeFen
$!1e['R5dv%QFen7$$\"1JLLL&4Nn'Fen$!1X\"z*zLT,PFen7$$\"1*******\\,s`(Fe
n$!1R()yk?ObKFen7$$\"1lmm\"zM)>$)Fen$!1$=u$)=u3c#Fen7$$\"1*******pfa<*
Fen$!1)p#3jjs]9Fen7$$\"1HLLeg`!)**Fen$!1VbRc.V\")QFas7$$\"1++]#G2A3\"F
0$\"1WCpnBW_=Fen7$$\"1LLL$)G[k6F0$\"1/N@^kzXTFen7$$\"1++]7yh]7F0$\"1Gj
v^h/aqFen7$$\"1nmm')fdL8F0$\"1j;Nq()3Q5F07$$\"1nmm,FT=9F0$\"1lURUTGN9F
07$$\"1LL$e#pa-:F0$\"1ZN!3.u'*)=F07$$\"1+++Sv&)z:F0$\"1/FwWwQjBF07$$\"
1LLLGUYo;F0$\"15**zV7;wHF07$$\"1nmm1^rZ<F0$\"18mxK[p!f$F07$$\"1++]sI@K
=F0$\"1#>U@!\\`=VF07$$\"1++]2%)38>F0$\"1k^RMxj)3&F07$$\"\"#F*$\"\"'F*-
%'COLOURG6&%$RGBG$\"#5!\"\"F*F*-%+AXESLABELSG6$%\"xG%!G-%%VIEWG6$;F(Fh
z%(DEFAULTG" 2 289 289 289 2 0 1 0 2 9 0 4 2 1.000000 45.000000 
45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 
}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 43 "Si on veut la meme echelle sur \+
les 2 axes :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "plot(f(x),x
=-2..2,scaling=constrained);" }}{PARA 13 "" 1 "" {INLPLOT "6&-%'CURVES
G6$7S7$$!\"#\"\"!$!\"'F*7$$!1LLL$Q6G\">!#:$!1(Q82bte3&F07$$!1nm;M!\\p$
=F0$!1MW)*p#=;O%F07$$!1LLL))Qj^<F0$!1\"=W/[mFi$F07$$!1LLL=Kvl;F0$!1p*G
I^oi&HF07$$!1nm;C2G!e\"F0$!1q^#)[S8mBF07$$!1LL$3yO5]\"F0$!1^8-Gj'4)=F0
7$$!1++]nU)*=9F0$!1b$3vvj\"Q9F07$$!1LL$3WDTL\"F0$!1LX58?ZS5F07$$!1++]d
(Q&\\7F0$!1y`vf'\\U,(!#;7$$!1nmmc4`i6F0$!1Z#*)R<Vg3%Fen7$$!1LLLQW*e3\"
F0$!1#*)z%p:cX>Fen7$$!1,+++()>'***Fen$\"1b]x%el#)f(!#>7$$!1++++0\"*H\"
*Fen$\"1+D3T$\\'>:Fen7$$!1++++83&H)Fen$\"1*>rUvqte#Fen7$$!1LLL3k(p`(Fe
n$\"1[^Q\"e?bD$Fen7$$!1nmmmj^NmFen$\"15K1rL*Qr$Fen7$$!1ommm9'=(eFen$\"
1D=G:mJZQFen7$$!1,++v#\\N)\\Fen$\"1WqJpn%eu$Fen7$$!1pmmmCC(>%Fen$\"1+O
T&z?yX$Fen7$$!1*****\\FRXL$Fen$\"10qiynwjHFen7$$!1+++D=/8DFen$\"19)RRq
LVN#Fen7$$!1mmm;a*el\"Fen$\"1%\\Ug$4\\5;Fen7$$!1pmm;Wn(o)!#<$\"1eMO(f.
@i)F[s7$$!1qLLL$eV(>!#=$\"1f_5P1Nu>Fas7$$\"1Mmm;f`@')F[s$!1&)e:!G^ub)F
[s7$$\"1)****\\nZ)H;Fen$!1'=M_M_le\"Fen7$$\"1lmm;$y*eCFen$!1rz?kVH5BFe
n7$$\"1*******R^bJ$Fen$!1+9Dxn2^HFen7$$\"1'*****\\5a`TFen$!1ktVmh(pV$F
en7$$\"1(****\\7RV'\\Fen$!1rx/![%*3u$Fen7$$\"1'*****\\@fkeFen$!1e['R5d
v%QFen7$$\"1JLLL&4Nn'Fen$!1X\"z*zLT,PFen7$$\"1*******\\,s`(Fen$!1R()yk
?ObKFen7$$\"1lmm\"zM)>$)Fen$!1$=u$)=u3c#Fen7$$\"1*******pfa<*Fen$!1)p#
3jjs]9Fen7$$\"1HLLeg`!)**Fen$!1VbRc.V\")QFas7$$\"1++]#G2A3\"F0$\"1WCpn
BW_=Fen7$$\"1LLL$)G[k6F0$\"1/N@^kzXTFen7$$\"1++]7yh]7F0$\"1Gjv^h/aqFen
7$$\"1nmm')fdL8F0$\"1j;Nq()3Q5F07$$\"1nmm,FT=9F0$\"1lURUTGN9F07$$\"1LL
$e#pa-:F0$\"1ZN!3.u'*)=F07$$\"1+++Sv&)z:F0$\"1/FwWwQjBF07$$\"1LLLGUYo;
F0$\"15**zV7;wHF07$$\"1nmm1^rZ<F0$\"18mxK[p!f$F07$$\"1++]sI@K=F0$\"1#>
U@!\\`=VF07$$\"1++]2%)38>F0$\"1k^RMxj)3&F07$$\"\"#F*$\"\"'F*-%'COLOURG
6&%$RGBG$\"#5!\"\"F*F*-%(SCALINGG6#%,CONSTRAINEDG-%+AXESLABELSG6$%\"xG
%!G-%%VIEWG6$;F(Fhz%(DEFAULTG" 2 289 289 289 2 0 1 0 2 9 0 4 1 
1.000000 45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 
0 0 0 0 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 79 "Par defaut,
 50 points sont calcules. Si on en veut plus, et une autre couleur :" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "plot(f(x),x=-2..2,numpoin
ts=100, color=blue);" }}{PARA 13 "" 1 "" {INLPLOT "6$-%'CURVESG6#7`q7$
$!\"#\"\"!$!\"'F*7$$!1JJJJnsd>!#:$!1K)\\jnSca&F07$$!1EEE')\\%4#>F0$!1K
8L]*)Rn^F07$$!1222n+ez=F0$!1Kwf%HS1w%F07$$!1MMMa4%z$=F0$!1c_(\\7t1P%F0
7$$!1000X(*\\'z\"F0$!1wMf$*Qa,SF07$$!1>>>R%y!e<F0$!1UhGp.'en$F07$$!1UU
U-aH=<F0$!1ktQT*Q]N$F07$$!1*)))))G<:x;F0$!1L'*faUSSIF07$$!1kjj.+9O;F0$
!1;j31<tVFF07$$!1BBB.W&Rf\"F0$!1\"G$)*G1zbCF07$$!1VVV.tzc:F0$!1n(H1U%G
;AF07$$!1qpp4s'\\^\"F0$!1y*>o)G2i>F07$$!1eddd`'HZ\"F0$!10*42(*>Gs\"F07
$$!1III!z)[K9F0$!1*zv&zF,2:F07$$!1\\\\\\*=KdR\"F0$!1,zm1&\\KK\"F07$$!1
'fff.D?N\"F0$!1&yuXYQ%>6F07$$!1%QQQM**\\J\"F0$!1A55s7G*e*!#;7$$!1#===m
H>F\"F0$!1Nm-pe/eyF]q7$$!1NNN&p0QB\"F0$!1e$oq7xQW'F]q7$$!1#===mx>>\"F0
$!1x46%4qf,&F]q7$$!1UUU#[Z@:\"F0$!1C2'HuNEx$F]q7$$!1pooo))e56F0$!1R[w:
#*>#f#F]q7$$!1333)3DC2\"F0$!1P(**Qai'4;F]q7$$!1&\\\\\\Hg7.\"F0$!1=D!pd
v#[l!#<7$$!1SSSSk,&))*F]q$\"1f\"psbf,E#Fas7$$!1GFFF6!G^*F]q$\"1G\")z:N
XV!*Fas7$$!1!>>>R)z5\"*F]q$\"1yY/,,B[:F]q7$$!1HIII-\\&p)F]q$\"14s/d_p?
@F]q7$$!1====A>*G)F]q$\"1:5E)eHOf#F]q7$$!1++++!yg*yF]q$\"1y$\\c^FI(HF]
q7$$!1$[[[o\"ffuF]q$\"1H:G*)Rm3LF]q7$$!1<<<<$*QnqF]q$\"1X-N$Gqt`$F]q7$
$!1uvvv&H'[mF]q$\"1V;pe5l4PF]q7$$!145555<piF]q$\"1E)\\2vH_!QF]q7$$!1op
ppDKaeF]q$\"1Po\\l^'y%QF]q7$$!1<<<<D)RY&F]q$\"19?L-[qKQF]q7$$!1*344pkf
0&F]q$\"1vF*Gh>Nw$F]q7$$!1'oooo_ql%F]q$\"189#HfCqk$F]q7$$!1(yyyyG%RUF]
q$\"1E$oqd'[xMF]q7$$!1OPPPt?PQF]q$\"1v9t$y5AF$F]q7$$!13555y(eU$F]q$\"1
*oOo!\\zBIF]q7$$!1'*)*)*)Haz,$F]q$\"16!p#ov2VFF]q7$$!1cddd\\6VEF]q$\"1
E%\\&[aYeCF]q7$$!1prrrn]8AF]q$\"1;GDBN00@F]q7$$!1())))))3g#H=F]q$\"1>l
[D&\\!o<F]q7$$!1!===)Hd>9F]q$\"1P\\BDf'4R\"F]q7$$!1VXXX,XF5F]q$\"1=m$*
GQg;5F]q7$$!1e#HHH\"[?fFas$\"1&\\UMwG(**eFas7$$!1Wddd(>-:#Fas$\"1wdH:c
A\\@Fas7$$\"1S33331H@Fas$!1=K7Ed4G@Fas7$$\"1&\\[[[g\"HgFas$!1R:`=SC2gF
as7$$\"1lgggc_H5F]q$!1!fa/[8'=5F]q7$$\"15333wh(R\"F]q$!1XwZauJq8F]q7$$
\"1uppp8$o\"=F]q$!1\"o\\\\,gov\"F]q7$$\"1snnn6x@AF]q$!1O8,3')47@F]q7$$
\"1HGGGkWEEF]q$!1)y)R`$o_W#F]q7$$\"1ihhhHjHIF]q$!16=lrFb^FF]q7$$\"1*zz
z**opT$F]q$!1uc.IZ,=IF]q7$$\"16666&*oNQF]q$!1(e3Q:j8F$F]q7$$\"1A@@@0wM
UF]q$!1IUN)eK`Z$F]q7$$\"1snnnRwaYF]q$!16i&QGCik$F]q7$$\"1GEEE#o\\.&F]q
$!1*3bC@e&ePF]q7$$\"15222^;baF]q$!1&e-g*>xJQF]q7$$\"1)ppp\\Sw&eF]q$!1*
[&3!ppx%QF]q7$$\"1`]]]i8fiF]q$!1w?\\)z2q!QF]q7$$\"1D@@@,]ymF]q$!1fa:'>
J(*p$F]q7$$\"1cbbb&\\Z1(F]q$!1'>A#oXoQNF]q7$$\"17555=KguF]q$!1PI^\\^<3
LF]q7$$\"1'===e!3(*yF]q$!1Asx)ea@(HF]q7$$\"1wuuu)HDH)F]q$!1a`)=\\%3!f#
F]q7$$\"1_[[[3&pp)F]q$!1s>^I@%)=@F]q7$$\"1ohhhlB3\"*F]q$!1gnUXf/_:F]q7
$$\"1rlll\")G'[*F]q$!1gK<))R4'\\*Fas7$$\"1RLLL*y#*))*F]q$!1M#*=/'zx<#F
as7$$\"1\"444@?*G5F0$\"1^W2'eut.'Fas7$$\"1gfff&*pr5F0$\"1&>:v%>!>f\"F]
q7$$\"1hhh\"[]%46F0$\"1,Lx*Q.:c#F]q7$$\"1*)))))3s+`6F0$\"1f<w*=,$)z$F]
q7$$\"1<<<(z8B>\"F0$\"1L\"pHKSp-&F]q7$$\"1srr6c?J7F0$\"1N[\\LmQ^jF]q7$
$\"1YYY1o-t7F0$\"1cpR_$p.!zF]q7$$\"1dccwr,:8F0$\"1I]Qg!G+f*F]q7$$\"1'f
ff>AKN\"F0$\"1V'=KC7[7\"F07$$\"1]\\\\HUz$R\"F0$\"1R!4'\\t(QJ\"F07$$\"1
*)))))o&)QL9F0$\"1#)[2$eb;^\"F07$$\"1^]]]#4jZ\"F0$\"1_]=E0HT<F07$$\"1M
LLtvW8:F0$\"1hq,Y(RJ&>F07$$\"1FFF(G-hb\"F0$\"1*=j<LG>@#F07$$\"1\"333'*
*>'f\"F0$\"17Sv'*\\oqCF07$$\"1baaM.\"fj\"F0$\"1QBA$><@u#F07$$\"1===)H_
cn\"F0$\"1NnXF?EHIF07$$\"1YXX&e'=;<F0$\"1C)4(z:\\QLF07$$\"1\"444D_\"f<
F0$\"1VAN!e\\Zo$F07$$\"1zyyeva)z\"F0$\"1@yK,hM>SF07$$\"1EEE'yNu$=F0$\"
1h(\\eGggO%F07$$\"1UTThm+z=F0$\"1c;-N$Q^v%F07$$\"1TSSSq[?>F0$\"1!)zE.'
)yi^F07$$\"1&QQQ9=x&>F0$\"1c+xC0bXbF07$$\"\"#F*$\"\"'F*-%'COLOURG6&%$R
GBGF*F*$\"*++++\"!\")" 2 289 289 289 2 0 1 0 2 6 0 4 2 1.000000 
45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 
0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 242 "ce qui n'a pas l'air
 de changer grand chose, parce que Maple se reserve le droits d'augmen
ter automatiquement le nombre de points calcules. En voici la preuve, \+
ou on chosit de dessiner les points, sans les joindre par des segments
 de droite :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "plot(f(x),x
=-2..2,numpoints=4,style=point,color=green);" }}{PARA 13 "" 1 "" 
{INLPLOT "6%-%'CURVESG6#7?7$$!\"#\"\"!$!\"'F*7$$!1LLL$Q6G\">!#:$!1(Q82
bte3&F07$$!1nmmmFiD=F0$!1urn)e#**eUF07$$!1+++]TVQ<F0$!1'zEEM!Q:NF07$$!
1LLLLbC^;F0$!1(o(HT+1^GF07$$!1nmm;p0k:F0$!1&GDM\"\\0iAF07$$!1++++$ooZ
\"F0$!1B]u(=)QW<F07$$!1LLL$oz'*Q\"F0$!1RB*H4$3%H\"F07$$!1nmmm5\\-8F0$!
1&oE!z&G;2*!#;7$$!1LLLLQ6G6F0$!1x5a;))pvIFV7$$!1++++gOP&*FV$\"1xtr66\\
?')!#<7$$!1nmmmOf$z(FV$\"15pF0pvfIFV7$$!1MLLL8#)\\gFV$\"1(eRpEmb$QFV7$
$!1nmmmtK:IFV$\"1hJ7)zn6u#FV7$$\"19++++m;>!#=$!1Bb)*eHl;>F^p7$$\"1nmmm
0m`IFV$!1*ocu^6*oFFV7$$\"1MLLLX:)3'FV$!1oXtm>aJQFV7$$\"1nmm;_8FyFV$!1$
\\G0_:>.$FV7$$\"1,+++f6m&*FV$!1SAJmQ3@\")F[o7$$\"1LLLe'408\"F0$\"1@`M0
dSVJFV7$$\"1nmmExS/8F0$\"1B#*yDI:]\"*FV7$$\"1LL$3wc8R\"F0$\"1q#=16M@I
\"F07$$\"1+++&z0$y9F0$\"1c)3X)fO_<F07$$\"1nm;H[Dl:F0$\"1I0j-]lpAF07$$
\"1LLLjQ?_;F0$\"1UJOV_%z&GF07$$\"1++](*G:R<F0$\"1Vl3&y!=@NF07$$\"1nmmJ
>5E=F0$\"1'e!=1dIjUF07$$\"1LL$e'408>F0$\"1B^-&3k#)3&F07$$\"\"#F*$\"\"'
F*-%&STYLEG6#%&POINTG-%'COLOURG6&%$RGBGF*$\"*++++\"!\")F*" 2 289 289 
289 5 0 1 0 2 6 0 4 2 1.000000 45.000000 45.000000 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 112 "Si on veut superposer plusieurs graphes, il suffit d'ecr
ire la liste des fonctions au lieu d'une seule fonction:" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "plot([x^2,x^3,x^4],x=-1..1);" }}
{PARA 13 "" 1 "" {INLPLOT "6'-%'CURVESG6$7S7$$!\"\"\"\"!$\"\"\"F*7$$!1
nmm;p0k&*!#;$\"1^R_q%=r9*F07$$!1LL$3<XZ=*F0$\"1AYJ&QafV)F07$$!1nmmT%p
\"e()F0$\"1\"Q%*o>`0n(F07$$!1mmm\"4m(G$)F0$\"1V'p4YMo$pF07$$!1ML$3i.9!
zF0$\"16=$z\"z@ViF07$$!1nm;/R=0vF0$\"1Ti`V&yFj&F07$$!1++]P8#\\4(F0$\"1
z7`y3zL]F07$$!1nm;/siqmF0$\"1TopHns\\WF07$$!1++](y$pZiF0$\"15mBmxO.RF0
7$$!1LLL$yaE\"eF0$\"1)y?Ic&pyLF07$$!1nmm\">s%HaF0$\"1k\"3!Go\"z%HF07$$
!1+++]$*4)*\\F0$\"1VqC6(*4)\\#F07$$!1+++]_&\\c%F0$\"1c-XV;)Q3#F07$$!1+
++]1aZTF0$\"1U-MW$4-s\"F07$$!1nm;/#)[oPF0$\"1JV\\M.:?9F07$$!1MLL$=exJ$
F0$\"1IvIO>v+6F07$$!1MLLL2$f$HF0$\"137$4F*o>')!#<7$$!1++]PYx\"\\#F0$\"
1f#)3W3%*3iF]q7$$!1MLLL7i)4#F0$\"1Dv*436US%F]q7$$!1++]P'psm\"F0$\"1!QH
T/)yzFF]q7$$!1++]74_c7F0$\"1K)\\N![%)y:F]q7$$!1JLL$3x%z#)F]q$\"1!=Wt2u
\\&o!#=7$$!1MLL3s$QM%F]q$\"19,Dp@*o)=Fgr7$$!1^omm;zr)*!#>$\"14t+rqAX(*
!#A7$$\"1<LLezw5VF]q$\"1>$f!R?Fe=Fgr7$$\"1!****\\PQ#\\\")F]q$\"1ZsD4'3
5k'Fgr7$$\"1KLLe\"*[H7F0$\"11#f/fV;^\"F]q7$$\"1*******pvxl\"F0$\"1)[5:
F?#[FF]q7$$\"1)****\\_qn2#F0$\"1n(3N\"e(HJ%F]q7$$\"1)***\\i&p@[#F0$\"1
M9+Pd;hhF]q7$$\"1)****\\2'HKHF0$\"1&Rg9Fg$)f)F]q7$$\"1lmmmZvOLF0$\"1rs
GPKR86F07$$\"1+++]2goPF0$\"1c+Hh^B?9F07$$\"1KL$eR<*fTF0$\"1xc,u7\\I<F0
7$$\"1+++])Hxe%F0$\"1-\"ew^EZ5#F07$$\"1lm;H!o-*\\F0$\"1&H#H+vF!\\#F07$
$\"1****\\7k.6aF0$\"1'3Sd]Jz#HF07$$\"1mmm;WTAeF0$\"1$ySR'40!R$F07$$\"1
****\\i!*3`iF0$\"17dN#G7,\"RF07$$\"1MLLL*zym'F0$\"1M\\`!GigW%F07$$\"1L
LL3N1#4(F0$\"1ILi![O(H]F07$$\"1mm;HYt7vF0$\"1,!G3;=Tk&F07$$\"1*******p
(G**yF0$\"1Grt;Y()RiF07$$\"1mmmT6KU$)F0$\"1j)pI?K%fpF07$$\"1LLLLbdQ()F
0$\"1%>x^Bqij(F07$$\"1++]i`1h\"*F0$\"1F(*fd=^#R)F07$$\"1++]P?Wl&*F0$\"
1:sFP\"o(\\\"*F07$F+F+-%'COLOURG6&%$RGBG$\"#5F)F*F*-F$6$7S7$F(F(7$F.$!
1,%ev;c$[()F07$F4$!1w))=I\"4#[xF07$F9$!1#*=(4Y+!=nF07$F>$!1yG?kr_xdF07
$FC$!1'zRiY=I$\\F07$FH$!1c$og)Q]FUF07$FM$!1W/EJ]VrNF07$FR$!1LBU<oCoHF0
7$FW$!1AWMaYqQCF07$Ffn$!1*)>e#4>R'>F07$F[o$!1`;5WKc+;F07$F`o$!1.>Ia]d[
7F07$Feo$!1wok[k#G^*F]q7$Fjo$!1-5;#=QY8(F]q7$F_p$!1K_o$y>=N&F]q7$Fdp$!
1@V]W(G?l$F]q7$Fip$!1`5Bk5oIDF]q7$F_q$!1(p.@8Gra\"F]q7$Fdq$!1jLm!*3xU#
*Fgr7$Fiq$!1CCm/ilMYFgr7$F^r$!1=BD8:&Q)>Fgr7$Fcr$!1=:-y+cvcF`s7$Fir$!1
V9!HT_j>)!#?7$F^s$!1;Y$*Q^G?'*!#D7$Fes$\"1JO%Qcz0,)Fg_l7$Fjs$\"1Zks?i
\">T&F`s7$F_t$\"1lOt0%\\&e=Fgr7$Fdt$\"1'[dVyKfb%Fgr7$Fit$\"1&*G`W51d*)
Fgr7$F^u$\"1$G!>1eIH:F]q7$Fcu$\"1CRa2QH@DF]q7$Fhu$\"1KFp\">?^r$F]q7$F]
v$\"1wS,%H*H_`F]q7$Fbv$\"1.c6a2q)>(F]q7$Fgv$\"1Em9rm\"fl*F]q7$F\\w$\"1
shM>_rU7F07$Faw$\"1bl3*R9Ve\"F07$Ffw$\"1a$o0;GQ(>F07$F[x$\"1TXfM!G]W#F
07$F`x$\"18HFY4ekHF07$Fex$\"1lh2b57nNF07$Fjx$\"1+hz&>w-C%F07$F_y$\"1!Q
`4[c!H\\F07$Fdy$\"1al;S=y0eF07$Fiy$\"1+TICC,tmF07$F^z$\"1SFIo\\V)o(F07
$Fcz$\"1b*otnd@v)F0Fgz-Fiz6&F[[lF*F\\[lF*-F$6$7gnF'7$$!1MLLe%G?y*F0$\"
1/SY*z3i:*F07$F.$\"1T+QJw(pO)F07$$!1++vV5Su$*F0$\"1*)y4`!)yAxF07$F4$\"
1,46RE`;rF07$$!1***\\iId9(*)F0$\"1'\\dcgk\"ykF07$F9$\"1g'QYjQP)eF07$$!
1mmmmxYV&)F0$\"1W!p*RHmF`F07$F>$\"1+'*)QBn>\"[F07$$!1++Dc[3:\")F0$\"1_
%*4M'GoL%F07$FC$\"1$[yq*px(*QF07$FH$\"1EA07%>G<$F07$FM$\"1r%y310R`#F07
$FR$\"1ay*oz1+)>F07$FW$\"1)\\\\=*ziB:F07$Ffn$\"1Owvq$e:9\"F07$F[o$\"18
P&[i8-p)F]q7$F`o$\"1eDLn@]SiF]q7$Feo$\"1T*3RqiDM%F]q7$Fjo$\"1'[b$)=?\"
fHF]q7$F_p$\"1gVcsp#o,#F]q7$Fdp$\"1xZGD[l67F]q7$Fip$\"1d1u7V!*HuFgr7$F
_q$\"1U(Q0k%4bQFgr7$Fdq$\"1R\")fCvqR>Fgr7$Fiq$\"1WYGq:AFxF`s7$F^r$\"14
jp84v#\\#F`s7$Fcr$\"1qg5gp1*p%Fg_l7$Fir$\"1*Rx$e?OgN!#@7$F^s$\"1q$\\l1
Xp\\*!#G7$Fes$\"1\"o\\6(\\<`MFdjl7$Fjs$\"1))G#[`*H5WFg_l7$F_t$\"1*RwXM
m]G#F`s7$Fdt$\"1x6ugYr_vF`s7$Fit$\"1h6zOg<g=Fgr7$F^u$\"1U+)QK'*fz$Fgr7
$Fcu$\"1[GyN*zJR(Fgr7$Fhu$\"1Iq$3]W'R7F]q7$F]v$\"1\"fkL\"z1<?F]q7$Fbv$
\"1-WW\\+g%*HF]q7$Fgv$\"1,K89P()HWF]q7$F\\w$\"1S?YG?[,iF]q7$Faw$\"10aI
-Hys&)F]q7$Ffw$\"1$e6QbW#\\6F07$F[x$\"1**G11y*)G:F07$F`x$\"1]&R-)puw>F
07$Fex$\"1;8X1\\#)HDF07$Fjx$\"1Y)Q8)pg&=$F07$F_y$\"1K+EBNg$*QF07$$\"1L
L$3U/37)F0$\"1uJDm!o!\\VF07$Fdy$\"1&e7*e'pL%[F07$$\"1++]P$[/a)F0$\"1U
\"=#H`8?`F07$Fiy$\"1;`Y5BEJeF07$$\"1nm\"zW?)\\*)F0$\"1!G6di&*eT'F07$F^
z$\"1-_*z_DM/(F07$$\"1++++PDj$*F0$\"1%3o30?ho(F07$Fcz$\"1PLf'pD=P)F07$
$\"1++v=5s#y*F0$\"1yKB'3-)e\"*F0Fgz-Fiz6&F[[lF\\[lF\\[lF*-%+AXESLABELS
G6$%\"xG%!G-%%VIEWG6$;F(F+%(DEFAULTG" 2 289 289 289 2 0 1 0 2 9 0 4 2 
1.000000 45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 
0 0 0 0 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 71 "Si le choix
 des couleurs ne plait pas, on peut donner sa propre liste :" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "plot([x^2,x^3,x^4],x=-1..1,c
olor=[blue,black,brown]);" }}{PARA 13 "" 1 "" {INLPLOT "6'-%'CURVESG6$
7S7$$!\"\"\"\"!$\"\"\"F*7$$!1nmm;p0k&*!#;$\"1^R_q%=r9*F07$$!1LL$3<XZ=*
F0$\"1AYJ&QafV)F07$$!1nmmT%p\"e()F0$\"1\"Q%*o>`0n(F07$$!1mmm\"4m(G$)F0
$\"1V'p4YMo$pF07$$!1ML$3i.9!zF0$\"16=$z\"z@ViF07$$!1nm;/R=0vF0$\"1Ti`V
&yFj&F07$$!1++]P8#\\4(F0$\"1z7`y3zL]F07$$!1nm;/siqmF0$\"1TopHns\\WF07$
$!1++](y$pZiF0$\"15mBmxO.RF07$$!1LLL$yaE\"eF0$\"1)y?Ic&pyLF07$$!1nmm\"
>s%HaF0$\"1k\"3!Go\"z%HF07$$!1+++]$*4)*\\F0$\"1VqC6(*4)\\#F07$$!1+++]_
&\\c%F0$\"1c-XV;)Q3#F07$$!1+++]1aZTF0$\"1U-MW$4-s\"F07$$!1nm;/#)[oPF0$
\"1JV\\M.:?9F07$$!1MLL$=exJ$F0$\"1IvIO>v+6F07$$!1MLLL2$f$HF0$\"137$4F*
o>')!#<7$$!1++]PYx\"\\#F0$\"1f#)3W3%*3iF]q7$$!1MLLL7i)4#F0$\"1Dv*436US
%F]q7$$!1++]P'psm\"F0$\"1!QHT/)yzFF]q7$$!1++]74_c7F0$\"1K)\\N![%)y:F]q
7$$!1JLL$3x%z#)F]q$\"1!=Wt2u\\&o!#=7$$!1MLL3s$QM%F]q$\"19,Dp@*o)=Fgr7$
$!1^omm;zr)*!#>$\"14t+rqAX(*!#A7$$\"1<LLezw5VF]q$\"1>$f!R?Fe=Fgr7$$\"1
!****\\PQ#\\\")F]q$\"1ZsD4'35k'Fgr7$$\"1KLLe\"*[H7F0$\"11#f/fV;^\"F]q7
$$\"1*******pvxl\"F0$\"1)[5:F?#[FF]q7$$\"1)****\\_qn2#F0$\"1n(3N\"e(HJ
%F]q7$$\"1)***\\i&p@[#F0$\"1M9+Pd;hhF]q7$$\"1)****\\2'HKHF0$\"1&Rg9Fg$
)f)F]q7$$\"1lmmmZvOLF0$\"1rsGPKR86F07$$\"1+++]2goPF0$\"1c+Hh^B?9F07$$
\"1KL$eR<*fTF0$\"1xc,u7\\I<F07$$\"1+++])Hxe%F0$\"1-\"ew^EZ5#F07$$\"1lm
;H!o-*\\F0$\"1&H#H+vF!\\#F07$$\"1****\\7k.6aF0$\"1'3Sd]Jz#HF07$$\"1mmm
;WTAeF0$\"1$ySR'40!R$F07$$\"1****\\i!*3`iF0$\"17dN#G7,\"RF07$$\"1MLLL*
zym'F0$\"1M\\`!GigW%F07$$\"1LLL3N1#4(F0$\"1ILi![O(H]F07$$\"1mm;HYt7vF0
$\"1,!G3;=Tk&F07$$\"1*******p(G**yF0$\"1Grt;Y()RiF07$$\"1mmmT6KU$)F0$
\"1j)pI?K%fpF07$$\"1LLLLbdQ()F0$\"1%>x^Bqij(F07$$\"1++]i`1h\"*F0$\"1F(
*fd=^#R)F07$$\"1++]P?Wl&*F0$\"1:sFP\"o(\\\"*F07$F+F+-%'COLOURG6&%$RGBG
F*F*$\"*++++\"!\")-F$6$7S7$F(F(7$F.$!1,%ev;c$[()F07$F4$!1w))=I\"4#[xF0
7$F9$!1#*=(4Y+!=nF07$F>$!1yG?kr_xdF07$FC$!1'zRiY=I$\\F07$FH$!1c$og)Q]F
UF07$FM$!1W/EJ]VrNF07$FR$!1LBU<oCoHF07$FW$!1AWMaYqQCF07$Ffn$!1*)>e#4>R
'>F07$F[o$!1`;5WKc+;F07$F`o$!1.>Ia]d[7F07$Feo$!1wok[k#G^*F]q7$Fjo$!1-5
;#=QY8(F]q7$F_p$!1K_o$y>=N&F]q7$Fdp$!1@V]W(G?l$F]q7$Fip$!1`5Bk5oIDF]q7
$F_q$!1(p.@8Gra\"F]q7$Fdq$!1jLm!*3xU#*Fgr7$Fiq$!1CCm/ilMYFgr7$F^r$!1=B
D8:&Q)>Fgr7$Fcr$!1=:-y+cvcF`s7$Fir$!1V9!HT_j>)!#?7$F^s$!1;Y$*Q^G?'*!#D
7$Fes$\"1JO%Qcz0,)Fh_l7$Fjs$\"1Zks?i\">T&F`s7$F_t$\"1lOt0%\\&e=Fgr7$Fd
t$\"1'[dVyKfb%Fgr7$Fit$\"1&*G`W51d*)Fgr7$F^u$\"1$G!>1eIH:F]q7$Fcu$\"1C
Ra2QH@DF]q7$Fhu$\"1KFp\">?^r$F]q7$F]v$\"1wS,%H*H_`F]q7$Fbv$\"1.c6a2q)>
(F]q7$Fgv$\"1Em9rm\"fl*F]q7$F\\w$\"1shM>_rU7F07$Faw$\"1bl3*R9Ve\"F07$F
fw$\"1a$o0;GQ(>F07$F[x$\"1TXfM!G]W#F07$F`x$\"18HFY4ekHF07$Fex$\"1lh2b5
7nNF07$Fjx$\"1+hz&>w-C%F07$F_y$\"1!Q`4[c!H\\F07$Fdy$\"1al;S=y0eF07$Fiy
$\"1+TICC,tmF07$F^z$\"1SFIo\\V)o(F07$Fcz$\"1b*otnd@v)F0Fgz-Fiz6&F[[lF*
F*F*-F$6$7gnF'7$$!1MLLe%G?y*F0$\"1/SY*z3i:*F07$F.$\"1T+QJw(pO)F07$$!1+
+vV5Su$*F0$\"1*)y4`!)yAxF07$F4$\"1,46RE`;rF07$$!1***\\iId9(*)F0$\"1'\\
dcgk\"ykF07$F9$\"1g'QYjQP)eF07$$!1mmmmxYV&)F0$\"1W!p*RHmF`F07$F>$\"1+'
*)QBn>\"[F07$$!1++Dc[3:\")F0$\"1_%*4M'GoL%F07$FC$\"1$[yq*px(*QF07$FH$
\"1EA07%>G<$F07$FM$\"1r%y310R`#F07$FR$\"1ay*oz1+)>F07$FW$\"1)\\\\=*ziB
:F07$Ffn$\"1Owvq$e:9\"F07$F[o$\"18P&[i8-p)F]q7$F`o$\"1eDLn@]SiF]q7$Feo
$\"1T*3RqiDM%F]q7$Fjo$\"1'[b$)=?\"fHF]q7$F_p$\"1gVcsp#o,#F]q7$Fdp$\"1x
ZGD[l67F]q7$Fip$\"1d1u7V!*HuFgr7$F_q$\"1U(Q0k%4bQFgr7$Fdq$\"1R\")fCvqR
>Fgr7$Fiq$\"1WYGq:AFxF`s7$F^r$\"14jp84v#\\#F`s7$Fcr$\"1qg5gp1*p%Fh_l7$
Fir$\"1*Rx$e?OgN!#@7$F^s$\"1q$\\l1Xp\\*!#G7$Fes$\"1\"o\\6(\\<`MFejl7$F
js$\"1))G#[`*H5WFh_l7$F_t$\"1*RwXMm]G#F`s7$Fdt$\"1x6ugYr_vF`s7$Fit$\"1
h6zOg<g=Fgr7$F^u$\"1U+)QK'*fz$Fgr7$Fcu$\"1[GyN*zJR(Fgr7$Fhu$\"1Iq$3]W'
R7F]q7$F]v$\"1\"fkL\"z1<?F]q7$Fbv$\"1-WW\\+g%*HF]q7$Fgv$\"1,K89P()HWF]
q7$F\\w$\"1S?YG?[,iF]q7$Faw$\"10aI-Hys&)F]q7$Ffw$\"1$e6QbW#\\6F07$F[x$
\"1**G11y*)G:F07$F`x$\"1]&R-)puw>F07$Fex$\"1;8X1\\#)HDF07$Fjx$\"1Y)Q8)
pg&=$F07$F_y$\"1K+EBNg$*QF07$$\"1LL$3U/37)F0$\"1uJDm!o!\\VF07$Fdy$\"1&
e7*e'pL%[F07$$\"1++]P$[/a)F0$\"1U\"=#H`8?`F07$Fiy$\"1;`Y5BEJeF07$$\"1n
m\"zW?)\\*)F0$\"1!G6di&*eT'F07$F^z$\"1-_*z_DM/(F07$$\"1++++PDj$*F0$\"1
%3o30?ho(F07$Fcz$\"1PLf'pD=P)F07$$\"1++v=5s#y*F0$\"1yKB'3-)e\"*F0Fgz-F
iz6&F[[l$\")#)eqkF^[l$\"))eqk\"F^[lF\\am-%+AXESLABELSG6$%\"xG%!G-%%VIE
WG6$;F(F+%(DEFAULTG" 2 289 289 289 2 0 1 0 2 9 0 4 2 1.000000 
45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 
0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 43 "On peut utiliser les \+
coordonnees polaires :" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "p
lot(1,t=0..2*Pi,coords=polar);" }}{PARA 13 "" 1 "" {INLPLOT "6#-%'CURV
ESG6$7S7$$\"\"\"\"\"!F*7$$\"1#4hRPij!**!#;$\"1kwb#=y_O\"F.7$$\"18J#))4
-Qn*F.$\"1D\\ff*)GLDF.7$$\"1N5')yke[#*F.$\"1Mj&[K5J!QF.7$$\"1goz=42`')
F.$\"1:NXR4U7]F.7$$\"1b](G._U!zF.$\"1`H-qceDhF.7$$\"1]$R'oTd#3(F.$\"1j
B*3qU&fqF.7$$\"1H$>jubk6'F.$\"1:7_\\!>8\"zF.7$$\"1GuIc:x5]F.$\"1$>p(Qh
-a')F.7$$\"1C3nW'R,#QF.$\"1L+16bcT#*F.7$$\"1n9AwiQDDF.$\"1'Q\"[M\"oen*
F.7$$\"1B^hAo8X8F.$\"1)fVPO<\"4**F.7$$!1qB/u(p5(f!#>$\"08;t@)******!#:
7$$!1)\\T#fB[i8F.$\"1q%>wGZn!**F.7$$!1crN]@=YEF.$\"1A>=\\D`V'*F.7$$!1z
V1J*3Jx$F.$\"1zF#e`m3E*F.7$$!1(\\AOF:B/&F.$\"1V'yI2&oN')F.7$$!1igNw%*[
RgF.$\"1j\")RQ+BqzF.7$$!1XUwYjJ*3(F.$\"1fvOg?x_qF.7$$!1#e_b?/U!zF.$\"1
4<J%QZc7'F.7$$!1\"G5)RnIf')F.$\"1%H$\\4/k,]F.7$$!1`k8ti$4B*F.$\"1n'[*>
HvXQF.7$$!12RS4Nij'*F.$\"1%p9m#Q%=d#F.7$$!1xpT>+.2**F.$\"1V?00]Ug8F.7$
$!1gKG4>&*****F.$\"1DA\\O%485$!#=7$$!1`Is=!Q%3**F.$!1$4*>c=8]8F.7$$!1_
NDna1u'*F.$!1NbFGIGKDF.7$$!1_J.8AEj#*F.$!15&=j`Bsw$F.7$$!1v#)4Kh=u')F.
$!1FNX')3zv\\F.7$$!1B*z7xng%zF.$!1W(H!pUCrgF.7$$!1D84Pfc5rF.$!1?#o?\"y
MJqF.7$$!1Wy6Ike[gF.$!1Jw!yeGL'zF.7$$!1AUD=%)o!*\\F.$!1_Mh6Mil')F.7$$!
1,1s\"[\"ysPF.$!10`8S***4E*F.7$$!1yCH\"el'3EF.$!1V>(fp[Pl*F.7$$!177Cvn
c\"H\"F.$!1$RoI*>C;**F.7$$!1zyOHMQdIF`s$!11O#>E`*****F.7$$\"1IAj`Ks(G
\"F.$!1ZZ3X=u;**F.7$$\"1KRqX8/bDF.$!1$[o%H'z!o'*F.7$$\"1%)yb&Q)zNQF.$!
1/2<#>x]B*F.7$$\"17w4w0I.]F.$!1Igb5wMe')F.7$$\"1\\#)[*R]$4hF.$!1a*[=H2
o\"zF.7$$\"1/wY'Q+$*4(F.$!1r&)eg?sUqF.7$$\"1f=s$Ry,!zF.$!11$H<bQ38'F.7
$$\"1S,@;vLu')F.$!1?)zD(p_v\\F.7$$\"1Le@`4+D#*F.$!1'>2ndo*fQF.7$$\"1mG
Ap))oa'*F.$!1g]nRQ=0EF.7$$\"1zb'f`bp!**F.$!1up91t'4O\"F.7$F($\"1YKhSr8
/#)!#D-%'COLOURG6&%$RGBG$\"#5!\"\"F*F*" 2 289 289 289 2 0 1 0 2 9 0 4 
2 1.000000 45.000000 45.000000 10030 0 10056 10074 0 0 0 20030 0 
12020 0 0 0 0 0 0 0 1 1 0 0 0 250 249 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 18 "Un autre exemple :" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 58 "plot(cos(t/3),t=0..6*Pi,coords=polar,scaling=constrai
ned);" }}{PARA 13 "" 1 "" {INLPLOT "6$-%'CURVESG6$7ct7$$\"\"\"\"\"!F*7
$$\"11wd^FYT**!#;$\"1&*39i/wC5F.7$$\"1.A]NFym(*F.$\"12IiKJ8N?F.7$$\"1V
Vdh%Q(y%*F.$\"1(*y,_r(p,$F.7$$\"1iuf&\\0>3*F.$\"1CoY15kcRF.7$$\"1[F8V,
(Hl)F.$\"1L/9u[$)HZF.7$$\"1by^h!\\::)F.$\"1#f!4l%\\LX&F.7$$\"18mZs%GOe
(F.$\"1Uen8Q))>hF.7$$\"1e1SoM'f&pF.$\"1xe'R%G(Gs'F.7$$\"14RB&G&)z='F.$
\"11'R,PlzJ(F.7$$\"1B/N5rHl`F.$\"1m))fM\\i=yF.7$$\"1)ps!>=1+XF.$\"1kVy
tvb>#)F.7$$\"1B]9,W'\\g$F.$\"1)3[k*f2<&)F.7$$\"1+vJ8]#po#F.$\"1MKZo'p+
r)F.7$$\"1X&=YOL^w\"F.$\"1oja:`'ez)F.7$$\"1Fhs-[%z_)!#<$\"1?o*HgDex)F.
7$$!1dry4MsCP!#=$\"1&)*HMv!*Hl)F.7$$!1g@\"\\U'e()))F_p$\"1lh))3WGL%)F.
7$$!1nUpx\"3Zp\"F.$\"1UIaqqVA\")F.7$$!1eEA#eCZW#F.$\"1S@V2-*ys(F.7$$!1
6t7yybHJF.$\"15,.^-JesF.7$$!1!*eWMnz+UF.$\"1X.\"e%)\\FA'F.7$$!1_uYB#3O
)\\F.$\"1Gn(*yYaK]F.7$$!1%*f'f<+&paF.$\"1HJjI]Y<PF.7$$!1hz+Q$o\\i&F.$
\"1\"*)3.1TAS#F.7$$!1ifj\"yM2Y&F.$\"1IB2eM'y7\"F.7$$!1Z:D]mt5]F.$\"1!3
O<$ePq=Fep7$$!1,O+r(f3M%F.$!1!obb&GL*f)F_p7$$!1!=o%pH;ENF.$!1G=VA>dp9F
.7$$!1:zE\"*e$\\i#F.$!1bBMLEN&z\"F.7$$!1DY/i)y0v\"F.$!1[(RoUy,#=F.7$$!
1pJ<.h8r5F.$!1]9&zZ:gh\"F.7$$!1FBO1JA(H&F_p$!1F2929WO7F.7$$!1vhtl%o5,$
F_p$!1(zC#p4>F'*F_p7$$!1-%G-d.JM\"F_p$!18nJ(Qgad'F_p7$$!1\"*Qj;+6<LFep
$!1!fn;1&46LF_p7$$!1n[DC&3'p5!#@$\"1E_Qfo0rf!#>7$$!1@#p&Q?m(e$Fep$\"1w
2>g(zAW$F_p7$$!1vh![er@S\"F_p$\"1LumO]E8nF_p7$$!148@#Rth5$F_p$\"1>v\\#
*))Hl(*F_p7$$!1/_D#)=BJaF_p$\"1BUxn+b\\7F.7$$!1^dQ!=$)*3#)F_p$\"1'H63)
z>t9F.7$$!1v8Y*G'GX6F.$\"1h7@Zx9];F.7$$!1%3Ah<%=4:F.$\"1g#e5:HMx\"F.7$
$!1:&GxGcX!>F.$\"1)RE&>C5P=F.7$$!15V?nq*Rn#F.$\"1h\\HGaa&y\"F.7$$!1#os
k`5-Y$F.$\"1!)4l8[U/:F.7$$!1f!*Qt$*oKVF.$\"1f\\!*p>5!o)F_p7$$!1So\"3-s
</&F.$!1()fN;gY,uFep7$$!1-&RE.*4YaF.$!1.BXqzXt5F.7$$!1)3&e]5!3i&F.$!1H
mo;8`4AF.7$$!1\")o\")RcN!\\&F.$!1*4,B&*pti$F.7$$!1!*)oMG#*Q(\\F.$!1^kZ
yPh^]F.7$$!1z&4on$p$>%F.$!19Z(e468B'F.7$$!1K*fg'*3(HJF.$!14(fh,$>esF.7
$$!1X3%f,z\"QCF.$!1FUR!fL=t(F.7$$!1z1@vbK!o\"F.$!1FEUl*\\*G\")F.7$$!1*
fmGsmnl)F_p$!1?\\0'RZ1W)F.7$$!1%zP>Yt4#\\F]w$!1$[o(Q`If')F.7$$\"1I*>Oe
+\"p%)F_p$!1*yuZ\"QNv()F.7$$\"1vEUF=A><F.$!1]M$o@dtz)F.7$$\"1@gvZ>y+EF
.$!1#Rp9B8Es)F.7$$\"1,E<'zY+[$F.$!1IQKY@#)\\&)F.7$$\"1+,%[$QR#Q%F.$!1H
b$RDu^E)F.7$$\"1rGz]1Lc_F.$!1L$3_vsd(yF.7$$\"1(Q$)GAS*)3'F.$!1T6UG&R^Q
(F.7$$\"1wUny(4y'oF.$!1/nz'fT%)z'F.7$$\"1-w9%4%oDvF.$!168J90!3='F.7$$
\"1dQu!)[)*>\")F.$!1\"R\"**=&>T\\&F.7$$\"1bGAx^5V')F.$!1`\"*>uKmXZF.7$
$\"1:#Q%)3B$)3*F.$!1E?&4:bN%RF.7$$\"1IPw%=SYZ*F.$!1g1T\"zY%GIF.7$$\"1%
\\ndo`yv*F.$!1VVjSy=t?F.7$$\"1qoeNupL**F.$!1E#Q)46P!4\"F.7$$\"1TF[(4>&
****F.$!1Xhj\\iw.$*Fep7$$\"1E=<5nM]**F.$\"1=3&o3</W*F_p7$$\"1oW_N\"3Ay
*F.$\"1!3M3%)fv'>F.7$$\"1)eB%)pRy\\*F.$\"1uX^Nl&G'HF.7$$\"1R9)3@j=5*F.
$\"1\\A>dow:RF.7$$\"1m&[$f+Er')F.$\"1#Q9My!H+ZF.7$$\"1D\"[P?0i;)F.$\"1
?3;`+DMaF.7$$\"1r^K5Q(Gf(F.$\"1Tw,9^05hF.7$$\"16?^%y\\#epF.$\"1OlZab)3
s'F.7$$\"1vG#Gb\")G@'F.$\"1Z![fUh2I(F.7$$\"1%*f)f^)[:aF.$\"1!>S(4/i\"z
(F.7$$\"1^XPx)4sd%F.$\"1H)*Gyt`)=)F.7$$\"1()G-W=m4PF.$\"1\"QCQ><!)[)F.
7$$\"18v/VbI&z#F.$\"1VJ3A*\\Hp)F.7$$\"1F+%p&)ec(=F.$\"1Qve!4$>\"z)F.7$
$\"1O=@x0_Q'*F_p$\"1H+\"H%y*Qy)F.7$$\"1\"R#oIN[osFep$\"1%yc9g\")Qn)F.7
$$!1V]'>M#*Rn(F_p$\"1<y^*o)3r%)F.7$$!1a=ghm@l:F.$\"10<6z+vz\")F.7$$!1R
E#zOU3J#F.$\"1z-Q\"R(o1yF.7$$!1Y!>Y,j`*HF.$\"1Q/vvs()ftF.7$$!1tjZmzi=T
F.$\"1@)e))>S+K'F.7$$!1h%\\Q8IF%\\F.$\"19Sp*z3<6&F.7$$!1tZh\"><1[&F.$
\"1OPcQ&f-n$F.7$$!1$y*)=,a;i&F.$\"1,r8P*H@B#F.7$$!1pSd>6*RV&F.$\"1g+mj
KEI5F.7$$!1xY*)yCm!*\\F.$!1[aBRlI4;Fep7$$!1w#p2@C$)H%F.$!1wu2*3\"f9!*F
_p7$$!1^Yxs1vfMF.$!16'pEChY]\"F.7$$!1q:Sz\"\\![EF.$!1f]\"G-U3z\"F.7$$!
1Vb+O8Ic=F.$!1wQ(RGMG$=F.7$$!1/\"4I&y#[X\"F.$!11j3HGFf<F.7$$!1R-N$eyw3
\"F.$!1XR<Ib#Ri\"F.7$$!10j)f&4dLwF_p$!1Rar5$oLV\"F.7$$!1%\\l=+EJ*[F_p$
!1f8_(*)*G&>\"F.7$$!1%=dW9@)HGF_p$!1-eKuB5c$*F_p7$$!1%f8g%pf38F_p$!1V9
*)HNR$\\'F_p7$$!1:.Nr$f$*f$Fep$!1h8H-\\$yW$F_p7$$!1QwV7\\C/G!#?$!1(*>z
AeDdIFep7$$!1)R(=[25%p#Fep$\"1n&zVD\"R')HF_p7$$!1jJXtB@%=\"F_p$\"1Qy)=
@$>(='F_p7$$!1?JOSVBFFF_p$\"18'R'Hgz(>*F_p7$$!1tj,LUqk[F_p$\"1)=(RC$*H
#>\"F.7$$!1J^n_^=%[(F_p$\"1-dXrb`A9F.7$$!1L*ye0yr0\"F.$\"1d?r1c?4;F.7$
$!1l(GnH%>19F.$\"1$ed6U3au\"F.7$$!1Lc%\\R**zy\"F.$\"1CnD&Q$=D=F.7$$!1f
c;\"R-kl#F.$\"1p.t<Q;*y\"F.7$$!1%\\Vs<u![NF.$\"10\\y<Hdd9F.7$$!13!>)3*
)eXVF.$\"19!\\?;hBb)F_p7$$!1!*yZ&H(H.]F.$!1)e7)G4:@dF]w7$$!1@NE&>JlX&F
.$!1*>.2,w>6\"F.7$$!1BKECj([i&F.$!1L*Rg\")3VQ#F.7$$!1U6w'[IeY&F.$!11NO
+*oEt$F.7$$!1bP<.KNf\\F.$!1\")*\\bb])z]F.7$$!1-W3Ev)z=%F.$!1RRyKv;QiF.
7$$!18F;!*eSUJF.$!1<NJ0tJ[sF.7$$!1:%Ra&>fKCF.$!1.3=E?>NxF.7$$!1z#**G5#
*Gl\"F.$!1/M5h+FT\")F.7$$!1D\\*4-ql8)F_p$!1IMx$*H%pX)F.7$$\"1')G?7sxZt
Fep$!127?+j-u')F.7$$\"17`!zVk9(*)F_p$!1(HC1oQ#z()F.7$$\"1(>U*G=GR<F.$!
1g8W&yPnz)F.7$$\"1D,uWMy*e#F.$!1Id]?r9C()F.7$$\"1u)Q[m%GQMF.$!1l**GJhI
g&)F.7$$\"1Ty;O&e*GVF.$!1/$\\#p1A&G)F.7$$\"1=`R%)fy#>&F.$!1=$o$4s<3zF.
7$$\"19<=EmO<gF.$!1r*f(*GUCV(F.7$$\"1nzI'4h2z'F.$!1sJE!eSG'oF.7$$\"19S
*f8NEZ(F.$!1ZA[UsbNiF.7$$\"1u(f.O8\")3)F.$!1]#Qc7#zMbF.7$$\"1JdLA?))G'
)F.$!1M&ysoa$oZF.7$$\"1DdQKqg(3*F.$!17i,>z,XRF.7$$\"1(*GYdi+#[*F.$!1<N
wgiz2IF.7$$\"1lb+hXDo(*F.$!1k]OQzyG?F.7$$\"1mR,\\O$=%**F.$!1JCY8(>:-\"
F.7$F($!15vx)=f(Q:!#C-%'COLOURG6&%$RGBG$\"#5!\"\"F*F*-%(SCALINGG6#%,CO
NSTRAINEDG" 2 289 289 289 2 0 1 0 2 9 0 4 1 1.000000 45.000000 
45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 
}}}{SECT 1 {PARA 5 "" 0 "" {TEXT -1 10 "Exercices." }}{SECT 1 {PARA 5 
"" 0 "" {TEXT 285 8 "Graphes." }}{PARA 0 "" 0 "" {TEXT -1 204 "Tracer \+
le graphe de sin(x) et exp(x)-1 pour x variant dans un intervalle cont
enant 0.  Montrer que si l'intervalle est assez petit les 2 graphes co
incident. Qu'est-ce qui permet de prevoir ce phenomene ? " }}}{PARA 0 
"" 0 "" {TEXT -1 0 "" }}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 32 "Solution
s d'ˇquations et graphes" }}{PARA 0 "" 0 "" {TEXT -1 253 "On veut reso
udre l'equation x^4-10*sin(x)+log(x^2+10)=0. Dessiner le graphe du pre
mier membre pour identifier les regions ou on risque de trouver des ra
cines, puis utiliser la commande fsolve(f(x),x=a..b), qui cherche une \+
racine dans l'intervalle [a,b]." }}{PARA 0 "" 0 "" {TEXT -1 44 "Meme q
uestion pour l'equation x^5-sin(3x+1)." }}{SECT 1 {PARA 20 "" 0 "" 
{TEXT -1 8 "Solution" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "expr
:=x^4-10*sin(x)+log(x^2+10);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%exp
rG,(*$%\"xG\"\"%\"\"\"-%$sinG6#F'!#5-%#lnG6#,&*$F'\"\"#F)\"#5F)F)" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "plot(expr,x=-10..10);" }}
{PARA 13 "" 1 "" {INLPLOT "6%-%'CURVESG6$7gn7$$!#5\"\"!$\"1+pDp-E****!
#77$$!1LLLe%G?y*!#:$\"1U?/&Hst:*F-7$$!1nmm;p0k&*F1$\"1=MN:\"4-P)F-7$$!
1++vV5Su$*F1$\"14:FX`(ys(F-7$$!1LL$3<XZ=*F1$\"15aH'4dM7(F-7$$!1***\\iI
d9(*)F1$\"1GVSW$\\q['F-7$$!1mmmT%p\"e()F1$\"1GAP$R%Q%*eF-7$$!1mmmmxYV&
)F1$\"1t^J+uzR`F-7$$!1nmm\"4m(G$)F1$\"1bLEY_BD[F-7$$!1++Dc[3:\")F1$\"1
%y4-^=3N%F-7$$!1LL$3i.9!zF1$\"1&zDcS[?\"RF-7$$!1nm;/R=0vF1$\"1VY%Q'=T'
=$F-7$$!1,+]P8#\\4(F1$\"1t'z@&)f_a#F-7$$!1mm;/siqmF1$\"1%)y1fJy()>F-7$
$!1****\\(y$pZiF1$\"1P1_ec;F:F-7$$!1LLL$yaE\"eF1$\"1$R:X6/39\"F-7$$!1m
mm\">s%HaF1$\"1.\\\"\\x)f^')!#87$$!1******\\$*4)*\\F1$\"1`Of[S5!='Fip7
$$!1+++]_&\\c%F1$\"16jf8`$zF%Fip7$$!1+++]1aZTF1$\"1U_+[ho2HFip7$$!1mm;
/#)[oPF1$\"1!pYexF+*>Fip7$$!1LLL$=exJ$F1$\"1Gd&\\0yXA\"Fip7$$!1LLLL2$f
$HF1$\"1W(zmWTl#z!#97$$!1++]PYx\"\\#F1$\"1$)o?hCpQZFhr7$$!1MLLL7i)4#F1
$\"15\"Hb>k.2$Fhr7$$!1****\\P'psm\"F1$\"1@'3<qeG-#Fhr7$$!1****\\74_c7F
1$\"1#y\"=!o8_W\"Fhr7$$!1:LL$3x%z#)!#;$\"1%f.(*=C/-\"Fhr7$$!1ILL3s$QM%
F`t$\"1d,\"z='RllF17$$!1^omm;zr)*!#=$\"1-U'4;68S#F17$$\"1WLLezw5VF`t$!
1g7)pHkH#=F17$$\"1.++v$Q#\\\")F`t$!1$)Q)ff?)oWF17$$\"1NLLe\"*[H7F1$!1$
f0-,aZp%F17$$\"1++++dxd;F1$\"12^z2b4f8F`t7$$\"1,++D0xw?F1$\"1G_Ya**e^7
Fhr7$$\"1,+]i&p@[#F1$\"1UoBYkfhMFhr7$$\"1+++vgHKHF1$\"1;pF(R:xZ(Fhr7$$
\"1lmmmZvOLF1$\"1U^Kdea*G\"Fip7$$\"1,++]2goPF1$\"1;'=)p[g2@Fip7$$\"1KL
$eR<*fTF1$\"13/A@Pz7JFip7$$\"1-++])Hxe%F1$\"1T\"R@$GXjXFip7$$\"1mm;H!o
-*\\F1$\"1FA;L;<LjFip7$$\"1,+]7k.6aF1$\"1y+Km61'o)Fip7$$\"1mmm;WTAeF1$
\"1IU2nGZd6F-7$$\"1****\\i!*3`iF1$\"1(*)z\\g#4L:F-7$$\"1NLLL*zym'F1$\"
1f.<(p\"*p(>F-7$$\"1OLL3N1#4(F1$\"1%=]C1*oEDF-7$$\"1pm;HYt7vF1$\"1c<o<
*z.=$F-7$$\"1-+++xG**yF1$\"14Qotf*y)QF-7$$\"1OL$3U/37)F1$\"1*>mJ(>vVVF
-7$$\"1qmmT6KU$)F1$\"1Mkaqa\"*Q[F-7$$\"1.+]P$[/a)F1$\"1+s,N&=oJ&F-7$$
\"1OLLLbdQ()F1$\"1pe**G[QHeF-7$$\"1om\"zW?)\\*)F1$\"1S$>8`BeT'F-7$$\"1
++]i`1h\"*F1$\"1\">_*f8OXqF-7$$\"1,+++PDj$*F1$\"17&)4'z'3!p(F-7$$\"1-+
]P?Wl&*F1$\"1G-=Rx%yP)F-7$$\"1,+v=5s#y*F1$\"1()4f!>mp;*F-7$$\"#5F*$\"1
pu9pS,,5!#6-%'COLOURG6&%$RGBG$F\\^l!\"\"F*F*-%+AXESLABELSG6$%\"xG%!G-%
%VIEWG6$;F(F[^l%(DEFAULTG" 2 252 252 252 2 0 1 0 2 9 0 4 2 1.000000 
45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 
0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "On zoome :" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plot(expr,x=-2..2);" }}
{PARA 13 "" 1 "" {INLPLOT "6%-%'CURVESG6$7S7$$!\"#\"\"!$\"13syfJ?tF!#9
7$$!1LLL$Q6G\">!#:$\"1\\5&[#fBUDF-7$$!1nm;M!\\p$=F1$\"1Q%eSGpFO#F-7$$!
1LLL))Qj^<F1$\"1$z@O#*4@=#F-7$$!1LLL=Kvl;F1$\"1Dp5om:??F-7$$!1nm;C2G!e
\"F1$\"1'z&Q-0:w=F-7$$!1LL$3yO5]\"F1$\"1EJ=&)ozb<F-7$$!1++]nU)*=9F1$\"
1qxd6n_U;F-7$$!1LL$3WDTL\"F1$\"11`G2WcN:F-7$$!1++]d(Q&\\7F1$\"1$4_eH'Q
P9F-7$$!1nmmc4`i6F1$\"1?J@>]RV8F-7$$!1LLLQW*e3\"F1$\"1kKb'Hp^E\"F-7$$!
1,+++()>'***!#;$\"15!z/>'*3=\"F-7$$!1++++0\"*H\"*Fco$\"1zvTd<3*4\"F-7$
$!1++++83&H)Fco$\"1+:)))>e=-\"F-7$$!1LLL3k(p`(Fco$\"1+?KRZ#R_*F17$$!1n
mmmj^NmFco$\"1/Rz3cs)p)F17$$!1ommm9'=(eFco$\"1.$>y-ob*zF17$$!1,++v#\\N
)\\Fco$\"17y/75horF17$$!1pmmmCC(>%Fco$\"1jPD#QqhU'F17$$!1*****\\FRXL$F
co$\"1b^[VH4*f&F17$$!1+++D=/8DFco$\"10')R')Ga*z%F17$$!1mmm;a*el\"Fco$
\"1,gG_NTaRF17$$!1pmm;Wn(o)!#<$\"17+*z`r5<$F17$$!1qLLL$eV(>!#=$\"1PXK`
!HBK#F17$$\"1Mmm;f`@')F[s$\"1i^@luHU9F17$$\"1)****\\nZ)H;Fco$\"1Z7evD-
LoFco7$$\"1lmm;$y*eCFco$!1!)QqG!H+A\"Fco7$$\"1*******R^bJ$Fco$!1dR([2j
`H*Fco7$$\"1'*****\\5a`TFco$!1WV>Noo&o\"F17$$\"1(****\\7RV'\\Fco$!1b+x
*oi_P#F17$$\"1'*****\\@fkeFco$!1**\\:7CYzIF17$$\"1JLLL&4Nn'Fco$!1T*RCe
tXk$F17$$\"1*******\\,s`(Fco$!1:^+f**)H;%F17$$\"1lmm\"zM)>$)Fco$!1)Rv9
-NSa%F17$$\"1*******pfa<*Fco$!1>])\\1G*[[F17$$\"1HLLeg`!)**Fco$!1%34Mr
)R9]F17$$\"1++]#G2A3\"F1$!1i-Bu#y\\/&F17$$\"1LLL$)G[k6F1$!1RSy6:I<\\F1
7$$\"1++]7yh]7F1$!1.df&Gbwf%F17$$\"1nmm')fdL8F1$!1FCF5\\)34%F17$$\"1nm
m,FT=9F1$!1K1KBM]]LF17$$\"1LL$e#pa-:F1$!1G'Hk&zftBF17$$\"1+++Sv&)z:F1$
!1c&G\"e#>WC\"F17$$\"1LLLGUYo;F1$\"15Mr0FD_MFco7$$\"1nmm1^rZ<F1$\"1<S*
oqY_0#F17$$\"1++]sI@K=F1$\"1SW`&)QF,UF17$$\"1++]2%)38>F1$\"1!Gw[23&*e'
F17$$\"\"#F*$\"1T%e81$3Y&*F1-%'COLOURG6&%$RGBG$\"#5!\"\"F*F*-%+AXESLAB
ELSG6$%\"xG%!G-%%VIEWG6$;F(Fhz%(DEFAULTG" 2 252 252 252 2 0 1 0 2 9 0 
4 2 1.000000 45.000000 45.000000 10030 0 10056 10074 0 0 0 20030 0 
12020 0 0 0 0 0 0 0 1 1 0 0 0 221 215 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 41 "ce qui nous montre qu'il y a 2 solutions " }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "fsolve(expr,x);" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#$\"+wsp];!\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 41 "et en voila deja une! Cherchons l'autre :" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 20 "fsolve(expr,x=0..1);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#$\"+-p/KB!#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 9 "et \+
voila!" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}{SECT 1 {PARA 20 "" 0 "" {TEXT -1 30 "Graphe en coordonnees pol
aires" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 84 "-- Quelle est la fonction
 r(t) dont le graphe, en coordonnees polaires, donne ceci :" }}}
{EXCHG {PARA 13 "" 1 "" {INLPLOT "6$-%'CURVESG6$7iv7$$\"\"\"\"\"!F*7$$
\"1f69>jb+**!#;$\"1l$[<+yWO\"F.7$$\"1t2MX*RYg*F.$\"1]&*oP%[')p#F.7$$\"
1TY/$[H%>\"*F.$\"1s6/#y))H(RF.7$$\"10a1CJnc%)F.$\"1t\"[EqC&f^F.7$$\"1!
Hz'=)=zu(F.$\"11.PG&3/5'F.7$$\"1<]sPyrHpF.$\"1;#*y(Gd,%pF.7$$\"1*o()Ru
5p,'F.$\"1J!oUP%elwF.7$$\"1:'QSWjf-&F.$\"1<&G*)o?dE)F.7$$\"1HZry1KSQF.
$\"1CyHEmT!y)F.7$$\"1!)yAA6'\\g#F.$\"18Gg#)pk<\"*F.7$$\"1hW]_)>tM\"F.$
\"12BXd]Ut#*F.7$$\"1+pAgMX%\\*!#=$\"1)f1L7*4[#*F.7$$!1L6UZ07L6F.$\"1f[
lkfQW!*F.7$$!1d6a;fI-BF.$\"1q/zpWxq')F.7$$!1U^P1_L)Q$F.$\"1')o9n-7S\")
F.7$$!1n(G5]t%pVF.$\"17zE#QC)ouF.7$$!1SZ\"Qv#HB_F.$\"1\"*>)4at.o'F.7$$
!1$*f&H%zvRfF.$\"15\\7kjb$z&F.7$$!1))GH]3n2lF.$\"1=.lJD*=$[F.7$$!1O1e[
:#)>pF.$\"1)y1['Q6?QF.7$$!1gHAtS,grF.$\"10,tHRKfGF.7$$!1)*[CNJGksF.$\"
1=jqjYB(*=F.7$$!1@@msqEOsF.$\"1VM2>DSL&*!#<7$$!1*3J=*QU#3(F.$\"1[/S+(e
Ph%F`o7$$!1z/\"[@%e0kF.$!1=2L.IAW;F.7$$!1L:)e`w4M&F.$!1i9*Q!=x!)HF.7$$
!1'[]H([n$o%F.$!1XH:AO@/NF.7$$!1yl$G+`6)RF.$!1%*zu;f6/RF.7$$!1k<Fk-4bK
F.$!1xFg&zoz<%F.7$$!10RhZ>&p_#F.$!1NROoD$pK%F.7$$!1w+$)4ig>=F.$!1K;RM.
\"eN%F.7$$!1G>lUHx\\6F.$!1w&yE$*QKF%F.7$$!1l*3x>PhM&Fjr$!1G(Gg-j,4%F.7
$$\"1X*\\Ub-r5\"F`o$!1y+@.O7?QF.7$$\"1%Qo#4?;s[Fjr$!1&RTv2^\"oMF.7$$\"
1F\">L)pnt')Fjr$!1]$HGW;'fIF.7$$\"1^4bV8VX6F.$!1)3M+6_Xh#F.7$$\"1&y(eg
=4>8F.$!1Y]w#Q-N:#F.7$$\"1m3*\\#fl'Q\"F.$!1=`,))QR]<F.7$$\"1(*z7cRox8F
.$!1>O>u27k8F.7$$\"1K&fQ\\ZwH\"F.$!19&QCIes+\"F.7$$\"1!G#z,%\\R:\"F.$!
1:w1(RjA\"pFjr7$$\"1V$R_feVF*Fjr$!1Q#oTx8o'RFjr7$$\"1M%)Q`n\\qkFjr$!1*
oJ&)pp8y\"Fjr7$$\"1#oqy.B#)H$Fjr$!1')\\](z&4<WF`o7$$!1dzL#\\^5(f!#>$!1
!>U85XhU\"!#@7$$!1!=c8&4!yU$Fjr$!1Bvdt+'ox%F`o7$$!1!*zgTgH,mFjr$!1'=;i
)\\Ff=Fjr7$$!1M'*fI*)e&R*Fjr$!1B#o_a604%Fjr7$$!1(*Hr*4)*Q;\"F.$!1Yn69T
2$3(Fjr7$$!1l3wVWl88F.$!1k`=B3fd5F.7$$!1bTA&GokQ\"F.$!1Wu2J3S`9F.7$$!1
s=rjlBt8F.$!1`jH<sm!)=F.7$$!16<O7ajn7F.$!1n[9@ezABF.7$$!1)pZQps))3\"F.
$!1$=3]KyBs#F.7$$!1)4vo%QZ4$)Fjr$!1;=)eU;h5$F.7$$!1.:S$\\j#e\\Fjr$!126
fLNVgMF.7$$!1vSE46El()F`o$!1'y?*o14sPF.7$$\"1s3EH)4+%[Fjr$!1'=@&>\\$)p
SF.7$$\"1YrGN4&e8\"F.$!1GDL#G-.F%F.7$$\"1$R5QTg,&=F.$!1.4p+h&pN%F.7$$
\"1gARSr81EF.$!1\\(yL,&f;VF.7$$\"1#4&)R>ff\"RF.$!1@kjJV:MRF.7$$\"1;$)p
qTsb^F.$!1vAU@OYXJF.7$$\"1FxU&y_[z&F.$!1=zOK0s1DF.7$$\"1%*QX^TAWjF.$!1
\"RNu%*zru\"F.7$$\"1Q**z/R-#y'F.$!1(f#*\\\"4U6))Fjr7$$\"1$)f.Tw$*)3(F.
$\"1y!)=EmfFtF`o7$$\"1$\\R\\*>NQsF.$\"1#G%e+MuY(*Fjr7$$\"1v0t>,qjsF.$
\"17#ehL'z6>F.7$$\"14O24LserF.$\"1$ytS&zamGF.7$$\"1?GM#)*)*)>pF.$\"1-j
eGY()>QF.7$$\"1`-=Ok>.lF.$\"1=Oa!R44%[F.7$$\"1UCs'*['y#fF.$\"19xC'Rd1
\"eF.7$$\"1\")\\CF`P,_F.$\"1\"QT-\">q.nF.7$$\"1qBamVLNVF.$\"1U4N>o*e\\
(F.7$$\"1q=\\d()3&R$F.$\"1KPKrB=O\")F.7$$\"1*o)G$)pseBF.$\"1-!Q$>#oyk)
F.7$$\"1>Z*Qg2_C\"F.$\"1mR=$)H^;!*F.7$$\"15&=n+KTc(F`o$\"1@w>_jiI#*F.7
$$!1T=h1wwz6F.$\"1#yeSRV/G*F.7$$!1[g&HRiTW#F.$\"1*GX6kMy9*F.7$$!1&)\\4
YZk*o$F.$\"1m`/DT(=$))F.7$$!1C>a1)R$))[F.$\"1'RS(=90O$)F.7$$!1'\\BfQIY
#fF.$\"1i%\\yep*GxF.7$$!1)=68*HfyoF.$\"10!GV0>g)pF.7$$!1uz\"p:8<t(F.$
\"1,sq7#[#>hF.7$$!1$R*4oyLn%)F.$\"1$4.p6!HV^F.7$$!1.#>x)3b7\"*F.$\"1Y7
s*=&p()RF.7$$!1HOu[ta*e*F.$\"1gdH>l_[FF.7$$!1=Uj+]P())*F.$\"15%HS$[d^9
F.7$$!1#)[jqC=****F.$\"1(H)>!3)[S7Fjr7$$!1dTF.&Rc\"**F.$!1&)o4h>Ed7F.7
$$!1%Qv;$4sI'*F.$!1V'4bR++h#F.7$$!1umiH&)\\^\"*F.$!1%zPfwIN!RF.7$$!1Z_
i%eW)*[)F.$!1^pvv[y3^F.7$$!1!)H7Vf(zx(F.$!1uB-0P>lgF.7$$!1,6@L?Z`pF.$!
1EHyOJh=pF.7$$!1Th!yN\\;.'F.$!1wRxYhIbwF.7$$!1_$)HVz`H]F.$!1x#RKZaQE)F
.7$$!1Z38SpFyQF.$!1wR(=_#)pw)F.7$$!1S$4wha#zEF.$!1%)*[3?iE5*F.7$$!1?kI
>zjd9F.$!1<UJ5Q0n#*F.7$$!1-a<H@J(Q#Fjr$!1'[xIV&=g#*F.7$$\"1y'eavpI\"**
Fjr$!1977[wNx!*F.7$$\"1>p?!*)[d;#F.$!1/5F*\\fUs)F.7$$\"1)>IA7X-E$F.$!1
6F>\">,K@)F.7$$\"1ec&3$R*GD%F.$!1`x#pz_+c(F.7$$\"1Os!pD\\s5&F.$!16&fe'
Gy,oF.7$$\"1CwQ$oR9$eF.$!1hkF)**)zXfF.7$$\"1$yWoTVVT'F.$!1V#)\\%>OS,&F
.7$$\"1'\\Cn-(\\[oF.$!1&e/()H]'HSF.7$$\"1'oB(=nZBrF.$!1u(zdZ(\\\\IF.7$
$\"1)H`eo&ybsF.$!1P0(fiuQ1#F.7$$\"1R!zb(3u[sF.$!1b-f4q!Q4\"F.7$$\"1_rg
(4\"y3rF.$!1Nefpw3$f\"Fjr7$$\"1qqgdW44oF.$\"1b&G\\\\N;9)Fjr7$$\"146H)z
cOP'F.$\"1(zF5Ts$)p\"F.7$$\"1EnwC@PAeF.$\"10:G1S@uCF.7$$\"1^sSBW#y<&F.
$\"1i)R+t%eEJF.7$$\"1FahIKGRXF.$\"19Ak91^)f$F.7$$\"1%*=.:6xjQF.$\"1=?*
f#\\RdRF.7$$\"1k\"pD=z+<$F.$\"1R\"Hx]g;?%F.7$$\"1ECp!\\QnZ#F.$\"1mjG3<
vKVF.7$$\"1x\"=*oA!pv\"F.$\"1xa:.ew_VF.7$$\"1ofG@[)y2\"F.$\"1H6-4\"4vD
%F.7$$\"1OU6qE>xXFjr$\"1\\`,<6$*eSF.7$$!1egi$fWy\"))F`o$\"1_E<z3vrPF.7
$$!1/\"\\6(G!G3&Fjr$\"1^f?Zy;\\MF.7$$!1k*3!Q*HN])Fjr$\"1)Rk\"\\re\"3$F
.7$$!1&zh\"Hm&*46F.$\"1.hQd!*f$o#F.7$$!1q'=z@D^G\"F.$\"1&p%oC=:qAF.7$$
!1Bp#G8'p!Q\"F.$\"1OH7kF.==F.7$$!1wxFi_,!Q\"F.$\"1')\\V)R,TQ\"F.7$$!1C
Y&)oZP!H\"F.$\"1m,zD#y*f)*Fjr7$$!1M]b$R!3A6F.$\"1'36f#)QfR'Fjr7$$!1bJh
>EpM!*Fjr$\"1TgTP)*zIPFjr7$$!1lOyO<X#R'Fjr$\"15MqK9%et\"Fjr7$$!1pqxH^G
LMFjr$\"1G)Rca7Cz%F`o7$$!1\"=eF<br0$F`o$\"1hg-84&*QP!#?7$$\"1a'pJ:qp(H
Fjr$\"1$z;c[k$)e$F`o7$$\"1znvZ]I+hFjr$\"1iez)pA;d\"Fjr7$$\"1`1JZ6t$*))
Fjr$\"1\">`mCbqf$Fjr7$$\"1(fRr`G(>6F.$\"1%)=<<KbfjFjr7$$\"1)eMZ:PPG\"F
.$\"1t5kG;Xt'*Fjr7$$\"1,PW&zYbP\"F.$\"1()G\"Q*QBZ8F.7$$\"1;1)3=<eQ\"F.
$\"1z_z%)4jh<F.7$$\"1meZ#fgxI\"F.$\"1FZghR*\\>#F.7$$\"1!=<UE\"4F6F.$\"
1E$oM_$)3l#F.7$$\"1/m1<+TT%)Fjr$\"1,<<[%*\\*3$F.7$$\"16(R!fhJ9YFjr$\"1
de/sA#4\\$F.7$$!1R+NX&))*)[\"F`o$\"1.iv\"[pd$QF.7$$!1!of=3I;`&Fjr$\"13
5HPcR(4%F.7$$!1Gjdoh&y:\"F.$\"1uzi!**>\\F%F.7$$!1*)y'o6_\\\"=F.$\"1g]w
JkhbVF.7$$!1dHm0OD3DF.$\"1%oobDm\"HVF.7$$!1ndd(>wfB$F.$\"1\")*pM^VM=%F
.7$$!1JO'y8x@'RF.$\"1K:f.`(H\"RF.7$$!1%QGRz@am%F.$\"1_lmjp];NF.7$$!1O.
*RRXSK&F.$\"11`&=Q[k*HF.7$$!1hif]L>7fF.$\"1q$G$*[IYO#F.7$$!1)HcWmidT'F
.$\"1^1ytmoE;F.7$$!1JP$3aOl\"oF.$\"1g:y!eWN&zFjr7$$!1E!QLP\"R)4(F.$!1Z
f5F*Qg8\"Fjr7$$!193)z*z(3C(F.$!1sqZ*G::+\"F.7$$!1G5'pb5KE(F.$!1))=aBCZ
B>F.7$$!1(>knj\"\\frF.$!1P]Y6IDiGF.7$$!1&eUg-$QEpF.$!1bcct;u*z$F.7$$!1
)[j%Q*p$*\\'F.$!1XgG\"o'f[[F.7$$!18,B1P30fF.$!1Si[LF9VeF.7$$!1n#ez*[r^
^F.$!1i0Ty#oev'F.7$$!1E^@q![?D%F.$!1mV1]AqgvF.7$$!1b>JASKPLF.$!1QO^Q#)
ep\")F.7$$!1kaHOr4MBF.$!1ona&GEzl)F.7$$!1y')e(3y%f7F.$!1%=@(*R[G,*F.7$
$!1&R%z!>LVK\"Fjr$!1oPw,.0C#*F.7$$\"1#>-cOjR5\"F.$!1H*R_$ec#G*F.7$$\"1
Ucuabq]BF.$!1(Qu86xR;*F.7$$\"1.!4*=n3\"e$F.$!1[b$=Q9r'))F.7$$\"1yPsOCP
oZF.$!1oJabr(\\R)F.7$$\"1WSyypGSeF.$!1V%))[5nay(F.7$$\"1'efbl;q#oF.$!1
%)[82ifJqF.7$$\"1!\\=glb$3xF.$!1/__&fBi9'F.7$$\"16w$)\\y9m%)F.$!1`(e9I
0^9&F.7$$\"1zrd8Z\"\\7*F.$!1]\")[8N@hRF.7$$\"1*>t%o!Grg*F.$!1OK.'fG.p#
F.7$$\"1(3v$pf=,**F.$!1cye2Z<g8F.7$F($\"1dXw!pa;G\"!#C-%'COLOURG6&%$RG
BG$\"#5!\"\"F*F*-%(SCALINGG6#%,CONSTRAINEDG" 2 272 272 272 2 0 1 0 2 
9 0 4 1 1.000000 45.000000 45.000000 10030 0 10056 10074 0 0 0 20030 
0 12010 0 0 0 0 0 0 0 1 1 0 0 0 62 70 0 0 0 0 0 0 }}}{SECT 1 {PARA 20 
"" 0 "" {TEXT -1 8 "Solution" }}{PARA 0 "" 0 "" {TEXT -1 25 "r(t)=cos(
t/4), t=0..8*Pi." }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}}{SECT 1 {PARA 
4 "" 0 "" {TEXT -1 21 "Courbes parametriques" }}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 32 "plot([cos(t),sin(t),t=0..2*Pi]);" }}{PARA 13 "" 1 
"" {INLPLOT "6#-%'CURVESG6$7S7$$\"\"\"\"\"!F*7$$\"1#4hRPij!**!#;$\"1kw
b#=y_O\"F.7$$\"18J#))4-Qn*F.$\"1D\\ff*)GLDF.7$$\"1N5')yke[#*F.$\"1Mj&[
K5J!QF.7$$\"1goz=42`')F.$\"1:NXR4U7]F.7$$\"1b](G._U!zF.$\"1`H-qceDhF.7
$$\"1]$R'oTd#3(F.$\"1jB*3qU&fqF.7$$\"1H$>jubk6'F.$\"1:7_\\!>8\"zF.7$$
\"1GuIc:x5]F.$\"1$>p(Qh-a')F.7$$\"1C3nW'R,#QF.$\"1L+16bcT#*F.7$$\"1n9A
wiQDDF.$\"1'Q\"[M\"oen*F.7$$\"1B^hAo8X8F.$\"1)fVPO<\"4**F.7$$!1qB/u(p5
(f!#>$\"08;t@)******!#:7$$!1)\\T#fB[i8F.$\"1q%>wGZn!**F.7$$!1crN]@=YEF
.$\"1A>=\\D`V'*F.7$$!1zV1J*3Jx$F.$\"1zF#e`m3E*F.7$$!1(\\AOF:B/&F.$\"1V
'yI2&oN')F.7$$!1igNw%*[RgF.$\"1j\")RQ+BqzF.7$$!1XUwYjJ*3(F.$\"1fvOg?x_
qF.7$$!1#e_b?/U!zF.$\"14<J%QZc7'F.7$$!1\"G5)RnIf')F.$\"1%H$\\4/k,]F.7$
$!1`k8ti$4B*F.$\"1n'[*>HvXQF.7$$!12RS4Nij'*F.$\"1%p9m#Q%=d#F.7$$!1xpT>
+.2**F.$\"1V?00]Ug8F.7$$!1gKG4>&*****F.$\"1DA\\O%485$!#=7$$!1`Is=!Q%3*
*F.$!1$4*>c=8]8F.7$$!1_NDna1u'*F.$!1NbFGIGKDF.7$$!1_J.8AEj#*F.$!15&=j`
Bsw$F.7$$!1v#)4Kh=u')F.$!1FNX')3zv\\F.7$$!1B*z7xng%zF.$!1W(H!pUCrgF.7$
$!1D84Pfc5rF.$!1?#o?\"yMJqF.7$$!1Wy6Ike[gF.$!1Jw!yeGL'zF.7$$!1AUD=%)o!
*\\F.$!1_Mh6Mil')F.7$$!1,1s\"[\"ysPF.$!10`8S***4E*F.7$$!1yCH\"el'3EF.$
!1V>(fp[Pl*F.7$$!177Cvnc\"H\"F.$!1$RoI*>C;**F.7$$!1zyOHMQdIF`s$!11O#>E
`*****F.7$$\"1IAj`Ks(G\"F.$!1ZZ3X=u;**F.7$$\"1KRqX8/bDF.$!1$[o%H'z!o'*
F.7$$\"1%)yb&Q)zNQF.$!1/2<#>x]B*F.7$$\"17w4w0I.]F.$!1Igb5wMe')F.7$$\"1
\\#)[*R]$4hF.$!1a*[=H2o\"zF.7$$\"1/wY'Q+$*4(F.$!1r&)eg?sUqF.7$$\"1f=s$
Ry,!zF.$!11$H<bQ38'F.7$$\"1S,@;vLu')F.$!1?)zD(p_v\\F.7$$\"1Le@`4+D#*F.
$!1'>2ndo*fQF.7$$\"1mGAp))oa'*F.$!1g]nRQ=0EF.7$$\"1zb'f`bp!**F.$!1up91
t'4O\"F.7$F($\"1YKhSr8/#)!#D-%'COLOURG6&%$RGBG$\"#5!\"\"F*F*" 2 289 
289 289 2 0 1 0 2 9 0 4 2 1.000000 45.000000 45.000000 10030 0 10056 
10074 0 0 0 20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 170 "Les figures de Lissajous sont la \+
composition de mouvement sinusoidaux perpendiculaires l'un a l'autre. \+
Elles ont  des parametrisations de la forme (a*cos(kt),b*sin(ht)) :" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "plot([cos(t),sin(3*t),t=0.
.2*Pi]);" }}{PARA 13 "" 1 "" {INLPLOT "6#-%'CURVESG6$7gt7$$\"\"\"\"\"!
F*7$$\"1H!eZ1RT***!#;$\"1'eX+Uh`-\"F.7$$\"1)\\W\"HJcw**F.$\"1M!pK09*R?
F.7$$\"1'\\Vaz#HZ**F.$\"19e.`I'H.$F.7$$\"1#4hRPij!**F.$\"1gG*>DSS*RF.7
$$\"1+dYLb[2)*F.$\"1ZJ,;^RgbF.7$$\"18J#))4-Qn*F.$\"1^k1Pic\\pF.7$$\"1_
@xxPZ#[*F.$\"16Z+gIMX#)F.7$$\"1N5')yke[#*F.$\"1:`0\"*p04#*F.7$$\"10gxk
24:\"*F.$\"1\"H'=N(ecb*F.7$$\"1FzC\"fG7(*)F.$\"1ydWBq_/)*F.7$$\"1ag^b2
Y&*))F.$\"1\"Qz7'eZ\"*)*F.7$$\"1bJiqN;<))F.$\"1=_Uyk6`**F.7$$\"1#p7(*H
fjt)F.$\"1CB)=;\"H*)**F.7$$\"1goz=42`')F.$\"1%)e]bt!*****F.7$$\"1WkYSa
tn&)F.$\"1!HTF_p])**F.7$$\"1i\\k+p)*z%)F.$\"16Vq?i#\\%**F.7$$\"1SnG8+&
)*Q)F.$\"1w=!e=z&z)*F.7$$\"1/F,l,N(H)F.$\"1'\\P!HS>*y*F.7$$\"1@jW_kO0
\")F.$\"1`d#y[)GM&*F.7$$\"1b](G._U!zF.$\"1^Vr>?z#=*F.7$$\"1MO(*3(\\z](
F.$\"1\\S&[g9#)G)F.7$$\"1]$R'oTd#3(F.$\"1E&ov\\Ib5(F.7$$\"1m4yaEC8mF.$
\"1p!G4&RC@cF.7$$\"1H$>jubk6'F.$\"1**[G1]]FRF.7$$\"1z0>j?Z\\eF.$\"1p:?
@%Q+*HF.7$$\"1FrU8K*fd&F.$\"1<=Y/JrA?F.7$$\"1>&pQ'GK'H&F.$\"1;U'R$))=N
5F.7$$\"1GuIc:x5]F.$\"1(*pXw&4Ft$!#=7$$\"11weB&)f?ZF.$!1I#=+ngrd*!#<7$
$\"1E+)=P<_U%F.$!1M>./mDV>F.7$$\"1;c'y)R&\\7%F.$!1N$[.\"e^4HF.7$$\"1C3
nW'R,#QF.$!1![(p$H1p%QF.7$$\"1ms$)\\a=!=$F.$!1(y9@xLak&F.7$$\"1n9AwiQD
DF.$!1PS1>[_2sF.7$$\"1VSvPCxQ>F.$!1L44I4DN$)F.7$$\"1B^hAo8X8F.$!1PihJy
$>>*F.7$$\"1BH$=x3(35F.$!1Fr]\"ytSa*F.7$$\"16<T[)H7r'Fht$!1ctIY!)p(z*F
.7$$\"1v-?E#pwK$Fht$!1G0+wF>]**F.7$$!1qB/u(p5(f!#>$!0(*[e&R)*****!#:7$
$!1\">)3>_#4Y$Fht$!1-UX$*e7Y**F.7$$!12yq5[8eoFht$!1Zpd%=i()y*F.7$$!1p?
OF3uC5F.$!1Q>-b/`H&*F.7$$!1)\\T#fB[i8F.$!1IjLL%G6<*F.7$$!1\\bAt$['3?F.
$!1-fjBY@:#)F.7$$!1crN]@=YEF.$!16\"3d&RYUpF.7$$!1*>yMMV`@$F.$!1*o84*H?
`bF.7$$!1zV1J*3Jx$F.$!1YW*4nGs)RF.7$$!1.muRN^)4%F.$!1nW[(\\dE*HF.7$$!1
5Z7=Dy=WF.$!1]WLX]Ok>F.7$$!1Y)*4aX^LZF.$!1RR\"p=\"QR\"*Fht7$$!1(\\AOF:
B/&F.$\"1t'e$p1(yY\"Fht7$$!1Gk()=M)3b&F.$\"1-$y-q]Q$>F.7$$!1igNw%*[RgF
.$\"1YK0vOZeOF.7$$!1h6Uz;T!e'F.$\"1SQECaP7bF.7$$!1XUwYjJ*3(F.$\"1$ym'z
7nDrF.7$$!1(G!)fzy5^(F.$\"1]N2X*fhH)F.7$$!1#e_b?/U!zF.$\"1hFjw#*p#=*F.
7$$!1S]]N`:2\")F.$\"1*Gl()y[q`*F.7$$!1(\\()*oC!3I)F.$\"1;589)oHz*F.7$$
!1%**>X;nSR)F.$\"1*>vl'=:$))*F.7$$!1l]<rL#\\[)F.$\"12OQm!=y%**F.7$$!1B
m!)>]Mt&)F.$\"1Si)[X+o)**F.7$$!1\"G5)RnIf')F.$\"0Xd_Q)******Fax7$$!1$>
GXc`)Q()F.$\"1ogM/vc))**F.7$$!1V&oCxEh\"))F.$\"1(H0([=v`**F.7$$!1=A?fi
5\"*))F.$\"1ok9FHj&*)*F.7$$!1B_1<Dxj*)F.$\"1Y],0oM9)*F.7$$!1PXkH.4-\"*
F.$\"1!*y!['z3$e*F.7$$!1`k8ti$4B*F.$\"14`y5(R@E*F.7$$!1u+#3#zso%*F.$\"
1dC6\"=nwJ)F.7$$!12RS4Nij'*F.$\"1E!yiJ&3NqF.7$$!1^c+wa0/)*F.$\"1vh/``#
Rg&F.7$$!1xpT>+.2**F.$\"1VI&\\Ti0)RF.7$$!1[]O+7mv**F.$\"1$=,I-Y#y?F.7$
$!1gKG4>&*****F.$\"14\"4W**3QI*Fbt7$$!1H[]%[H]***F.$!1mr?&*>6X%*Fht7$$
!1ke^]/7y**F.$!1#*oqKU(=(>F.7$$!1rRf&3X#\\**F.$!13IOA7(z(HF.7$$!1`Is=!
Q%3**F.$!12*H)G<&>&RF.7$$!1SkGik24)*F.$!1!y'>K@-SbF.7$$!1_NDna1u'*F.$!
1W&Q'4GKZpF.7$$!1OLw2dx)[*F.$!1^p^>vS6#)F.7$$!1_J.8AEj#*F.$!1G>X%>(4j
\"*F.7$$!1oCkFeKJ\"*F.$!1)HfJ'3#*>&*F.7$$!104di%e!*)*)F.$!1-Wa%)>))z(*
F.7$$!1!y#R5059*)F.$!1%yXO@tE()*F.7$$!1+D'f2@m$))F.$!1K:\\EbLS**F.7$$!
1e'ea2Umv)F.$!1^!*=-np#)**F.7$$!1v#)4Kh=u')F.$!13I$)=*['****F.7$$!1-D7
iX9\"f)F.$!1='Q8].;***F.7$$!1*>q-;xd])F.$!1J<wXx@f**F.7$$!1VUdPq5=%)F.
$!1\"*)pjaqD!**F.7$$!1w+ZGz:G$)F.$!1z2B+**z@)*F.7$$!1G<2n2_T\")F.$!1K7
z4Ot)e*F.7$$!1B*z7xng%zF.$!1pC9j&)Gi#*F.7$$!1f?^`ogVvF.$!1337M%3!y$)F.
7$$!1D84Pfc5rF.$!1+@P8;*))=(F.7$$!1Y+DSr0'f'F.$!1ED%yTBVc&F.7$$!1Wy6Ik
e[gF.$!1hX!4=L.p$F.7$$!1J=ZldzIbF.$!1:rA&zvF'=F.7$$!1AUD=%)o!*\\F.$\"1
i+G+5iCKFbt7$$!1()o=?;'Rp%F.$\"1*3xcSKy/\"F.7$$!1v/JZb$=R%F.$\"1Evr.%z
D0#F.7$$!1\\g1Bxl%3%F.$\"1>\\=*p$4OIF.7$$!1,1s\"[\"ysPF.$\"1i0rE9?))RF
.7$$!1rXO!zgn>$F.$\"1lV*H-_?g&F.7$$!1yCH\"el'3EF.$\"1)\\?,uXf-(F.7$$!1
4q(owFX&>F.$\"1mL.l8`3$)F.7$$!177Cvnc\"H\"F.$\"1rjB=Hda#*F.7$$!1^q16')
ou(*Fht$\"1/!>t0l<d*F.7$$!1.s0K-%Ri'Fht$\"1V9%zq;H!)*F.7$$!1dtr1;dmMFh
t$\"1uc^]+&f%**F.7$$!1zyOHMQdIFbt$\"1&zL*f$z&****F.7$$\"1ETL?)=&)*HFht
$\"1&4)oU^bf**F.7$$\"1LuTs:]*H'Fht$\"1$*z@3)=<#)*F.7$$\"1WLi3_g$f*Fht$
\"1Z(Qy.Cue*F.7$$\"1IAj`Ks(G\"F.$\"1A'QY#=(*e#*F.7$$\"1@qd!y+a#>F.$\"1
KD./'pxN)F.7$$\"1KRqX8/bDF.$\"13<M-$fM9(F.7$$\"1e?$o$eu-KF.$\"1q#e`UVj
e&F.7$$\"1%)yb&Q)zNQF.$\"1f))GZ0#**z$F.7$$\"1#f$RDlcMTF.$\"1xe4`s?zGF.
7$$\"1NP2Qq%*GWF.$\"1\"H4)>X,J>F.7$$\"1`p?Dvi=ZF.$\"1!\\gv#*>Rk*Fht7$$
\"17w4w0I.]F.$!15f/'pyM9\"Fbt7$$\"1gx3?j#*)G&F.$!1[Q=SH<45F.7$$\"1.j#*
yBoobF.$!1p>0p'Qo*>F.7$$\"1\\D]x#eA%eF.$!1F*)*)4UdkHF.7$$\"1\\#)[*R]$4
hF.$!1-Jo>2s-RF.7$$\"1LwU*Gq(=mF.$!163\"[F?&RcF.7$$\"1/wY'Q+$*4(F.$!1v
\"\\**>Ca:(F.7$$\"16'=$[fe8vF.$!13x2jq^-$)F.7$$\"1f=s$Ry,!zF.$!1rf(p.y
[<*F.7$$\"10-$z\\!o3\")F.$!1N\"=Mv'RR&*F.7$$\"1\"yog/mtI)F.$!1f7&3\"=1
+)*F.7$$\"1&=jE(>&HS)F.$!1By'\\I<0*)*F.7$$\"1Q(>[]%*f\\)F.$!1g\"3nRNS&
**F.7$$\"1Cta![lke)F.$!1XU$34V/***F.7$$\"1S,@;vLu')F.$!1Q;')G7k****F.7
$$\"1xng`xq]()F.$!1S9O\\Vz%)**F.7$$\"1k?]I\"f\\#))F.$!1(GCw)=>[**F.7$$
\"1'*>(zmtq*))F.$!1.]q&f8**))*F.7$$\"17\")\\/R.n*)F.$!1eN]ak35)*F.7$$
\"1wZ\"4CC/5*F.$!1wnsHz_'e*F.7$$\"1Le@`4+D#*F.$!1EM+tOYz#*F.7$$\"1E^cg
3ng%*F.$!1OUweD+f$)F.7$$\"1mGAp))oa'*F.$!1bUe)*zH3rF.7$$\"1C1`,oe+)*F.
$!1q()f#))3uk&F.7$$\"1zb'f`bp!**F.$!1Cw;I)o?)RF.7$$\"141#\\!piZ**F.$!1
XB1?>jBIF.7$$\"1V6=n<rw**F.$!1kI/<O_L?F.7$$\"1D(HhCwT***F.$!1dW`G\\6A5
F.7$F($\"1uR=U6ChC!#C-%'COLOURG6&%$RGBG$\"#5!\"\"F*F*" 2 282 282 282 
2 0 1 0 2 9 0 4 2 1.000000 45.000000 45.000000 10030 0 10056 10074 0 
0 0 20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 238 262 0 0 0 0 0 0 }}}
{SECT 0 {PARA 5 "" 0 "" {TEXT -1 10 "Exercice. " }}{PARA 0 "" 0 "" 
{TEXT -1 524 "Un exemple d'epicycloide : la cardioide. Prenons un cerc
le C, de centre (0,0), rayon 1 et faisons rouler sans frottement sur l
'exterieur de C un cercle C', de rayon 1 aussi. La courbe decrite par \+
un point fixe P de C' est appele cardioide. On suppose qu'au depart le
 cercle C' est centre en (2,0), de sorte que C et C' sont tangents en \+
(1,0), et que ce meme point est le point P. Trouver la parametrisation
 de cette courbe. Ci-dessous, en bleu le cercle C, en brun le cercle C
', en vert le point P et en rouge la cardioide :" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{EXCHG {PARA 13 "" 1 "" {INLPLOT "6(-%'POINTSG6%7$$\"
\"\"\"\"!F)-%'COLOURG6&%$RGBGF)$\"*++++\"!\")F)-%'SYMBOLG6#%'CIRCLEG-%
'CURVESG6$7UF&7$$\"+8q9@**!#5$\"+OBL`7F<7$$\"+6;$eo*F<$\"+s))*o[#F<7$$
\"+f[w(H*F<$\"+FbC\"o$F<7$$\"++o1j()F<$\"+Tn`<[F<7$$\"+X*p,4)F<$\"+?D&
y(eF<7$$\"+tio*G(F<$\"+g5ZXoF<7$$\"+(*)RUP'F<$\"+GC80xF<7$$\"+^zEe`F<$
\"+a#zKW)F<7$$\"+=HzdUF<$\"+B0F[!*F<7$$\"+X*p,4$F<$\"+g^c5&*F<7$$\"+UJ
\"Q(=F<$\"+3D(G#)*F<7$$\"+D>0zi!#6$\"+%Gn-)**F<7$$!+D>0ziF^pF_p7$$!+UJ
\"Q(=F<Fio7$$!+X*p,4$F<Fdo7$$!+=HzdUF<F_o7$$!+^zEe`F<Fjn7$$!+(*)RUP'F<
Fen7$$!+tio*G(F<FV7$$!+X*p,4)F<FQ7$$!++o1j()F<FL7$$!+f[w(H*F<FG7$$!+6;
$eo*F<FB7$$!+8q9@**F<F=7$$!\"\"F)F)7$Fcr$!+OBL`7F<7$F`r$!+s))*o[#F<7$F
]r$!+FbC\"o$F<7$Fjq$!+Tn`<[F<7$Fgq$!+?D&y(eF<7$Fdq$!+g5ZXoF<7$Faq$!+GC
80xF<7$F^q$!+a#zKW)F<7$F[q$!+B0F[!*F<7$Fhp$!+g^c5&*F<7$Fep$!+3D(G#)*F<
7$Fbp$!+%Gn-)**F<7$F\\pFjt7$FgoFgt7$FboFdt7$F]oFat7$FhnF^t7$FYF[t7$FTF
hs7$FOFes7$FJFbs7$FEF_s7$F@F\\s7$F:FirF&-F+6&F-F)F)F.-F66$7$7$$\"\"#F)
F)F&-F+6&F-$\")#)eqkF0$\"))eqk\"F0Fdv-F66$7U7$$\"\"$F)F)7$$\"+,Z6#*H!
\"*F=7$$\"+hJeoHF_wFB7$$\"+'[w(HHF_wFG7$$\"+!o1j(GF_wFL7$$\"+&*p,4GF_w
FQ7$$\"+F'o*GFF_wFV7$$\"+!*RUPEF_wFen7$$\"+&zEe`#F_wFjn7$$\"+#HzdU#F_w
F_o7$$\"+&*p,4BF_wFdo7$$\"+98Q(=#F_wFio7$$\"+>0zi?F_wF_p7$$\"+\"[4s$>F
_wF_p7$$\"+'o=E\"=F_wFio7$$\"+1I)4p\"F_wFdo7$$\"+32Au:F_wF_o7$$\"+0K<k
9F_wFjn7$$\"+5gdi8F_wFen7$$\"+t8.r7F_wFV7$$\"+1I)4>\"F_wFQ7$$\"+?LpB6F
_wFL7$$\"+9NAq5F_wFG7$$\"+RoTJ5F_wFB7$$\"+*H&)y+\"F_wF=F&7$Fc[lFir7$F`
[lF\\s7$F][lF_s7$FjzFbs7$FgzFes7$FdzFhs7$FazF[t7$F^zF^t7$F[zFat7$FhyFd
t7$FeyFgt7$FbyFjt7$F_yFjt7$F\\yFgt7$FixFdt7$FfxFat7$FcxF^t7$F`xF[t7$F]
xFhs7$FjwFes7$FgwFbs7$FdwF_s7$FawF\\s7$F]wFirFivF`v-F66$7aoF&7$$\"1yv5
l@b=5!#:$\"1x#[z:Gob#!#=7$$\"1L2#)y96j5Fc]l$\"1$*))Q$32Fl\"!#<7$$\"1%y
K'e-**Q6Fc]l$\"1-0'4/<ar&F\\^l7$$\"18[Cd95L7Fc]l$\"1+j61^F]8!#;7$$\"1A
3f-kIJ8Fc]l$\"1e+3Vn`nDFg^l7$$\"1ABk'pdKT\"Fc]l$\"1%QNmWQ\">TFg^l7$$\"
16-LJ02v9Fc]l$\"140wE:zWhFg^l7$$\"1%\\r%zw***\\\"Fc]l$\"1^7!Gn#QN')Fg^
l7$$\"1]%Q3fe@Z\"Fc]l$\"1Y&fkoJA9\"Fc]l7$$\"1R<OQd_x8Fc]l$\"1>$\\\\`nk
W\"Fc]l7$$\"1B>4.&RGB\"Fc]l$\"1\"*p$)*4T_r\"Fc]l7$$\"1mqrH20))**Fg^l$
\"1W^?dQ>,?Fc]l7$$\"1[\"ockjP!pFg^l$\"1&zge#[I^AFc]l7$$\"1C>r/(zrI$Fg^
l$\"1`qz$Qx!RCFc]l7$$\"1\"p`(\\ni,:Fg^l$\"1[-6Eir-DFc]l7$$!1XJkK1)[$RF
\\^l$\"1>(y=Z=5b#Fc]l7$$!1JjuCGpUFFg^l$\"1:8\"Q&f%pe#Fc]l7$$!1Rj'4@>'p
^Fg^l$\"1$Hf%\\R,)f#Fc]l7$$!13Vu$=GUE(Fg^l$\"1w;F<#=qe#Fc]l7$$!1^_rzb1
u$*Fg^l$\"1'[+lTonb#Fc]l7$$!1\"[(H$p=@=\"Fc]l$\"1=<.`,&p\\#Fc]l7$$!1CG
k%RJIU\"Fc]l$\"1I[Ad5a5CFc]l7$$!1^Xy_=aI;Fc]l$\"1YFO)*447BFc]l7$$!1>?d
B(p.$=Fc]l$\"1<&)>Lo\\$>#Fc]l7$$!1y/QEpAQ?Fc]l$\"1T!oSQm5/#Fc]l7$$!1JX
C7K`JAFc]l$\"18$f?&Gam=Fc]l7$$!1?p;e)Q(*R#Fc]l$\"1c:\"y$yH\"o\"Fc]l7$$
!1<9?W4R]DFc]l$\"1D_^'e[\"z9Fc]l7$$!1oV$Hv\")oo#Fc]l$\"1N2y+5E_7Fc]l7$
$!1f3^)3P/!GFc]l$\"1?2ju`V65Fc]l7$$!1eItq6?$)GFc]l$\"1R=kP>R-yFg^l7$$!
1zf**z3RWHFc]l$\"1-t%HG/kT&Fg^l7$$!1$Qixc3a)HFc]l$\"1HeE$f!o&y#Fg^l7$$
!15ihX6(***HFc]l$\"1<Ir\"z?0C\"F\\^l7$$!1JKgW=)o)HFc]l$!1(\\&[rboTEFg^
l7$$!1Q@;$[I_%HFc]l$!1G'[_F.eP&Fg^l7$$!1EpJ8\\<')GFc]l$!1;0kfgq/xFg^l7
$$!1k[uYRc1GFc]l$!1$f\")fTgS'**Fg^l7$$!1gu>IC\\)p#Fc]l$!18q0)Q/.B\"Fc]
l7$$!1)ya\"zH\")oDFc]l$!1pU!fH!Q^9Fc]l7$$!1NXQL^(QT#Fc]l$!1(4(*eB!)Rm
\"Fc]l7$$!1w`]FtmRAFc]l$!1H1O.pPe=Fc]l7$$!1&zC`(ez_?Fc]l$!1a[!4?6\"H?F
c]l7$$!1a9x9M,_=Fc]l$!1_+;A#*4z@Fc]l7$$!1%\\4zXTok\"Fc]l$!1Z*p<$eL.BFc
]l7$$!1MFLYhJL9Fc]l$!1A.I2o?1CFc]l7$$!1\")))*R#3P*=\"Fc]l$!1=%G^[eZ\\#
Fc]l7$$!1Jov?CD9%*Fg^l$!1\"=dAM.gb#Fc]l7$$!1*)e\"3*=`zrFg^l$!1#4e1]Hye
#Fc]l7$$!13y795xi\\Fg^l$!1G&o-@t!)f#Fc]l7$$!1H\\a*)\\JTEFg^l$!1;zI%R<f
e#Fc]l7$$!1%zR?&)*QBRF\\^l$!1AUbpX*4b#Fc]l7$$\"1o$3\"4Dii:Fg^l$!1&3!3Q
r&3]#Fc]l7$$\"1S5T9;k@MFg^l$!1spEyxTMCFc]l7$$\"1zh`-vB$3(Fg^l$!1bO[s\"
)RRAFc]l7$$\"1eRaz`mQ**Fg^l$!18Um!R0h+#Fc]l7$$\"1Uv;F+QC7Fc]l$!1\"GLv)
z%zs\"Fc]l7$$\"1bcdVNW!Q\"Fc]l$!1)pc@1p&R9Fc]l7$$\"12'=?p#*GZ\"Fc]l$!1
C&\\ZbP&Q6Fc]l7$$\"1\\R7#y****\\\"Fc]l$!1'QAN5KEl)Fg^l7$$\"10J#Q$oQv9F
c]l$!1H@ZDYIghFg^l7$$\"1Rvud(e=T\"Fc]l$!1pI(=Bkd3%Fg^l7$$\"1y<p0$z<L\"
Fc]l$!1O[5^MtuDFg^l7$$\"19%Rj([)*H7Fc]l$!1@n#*))Q<>8Fg^l7$$\"11l!*Qt)H
9\"Fc]l$!1D)H^$R%H)fF\\^l7$$\"1bYhIunm5Fc]l$!1757bz>*z\"F\\^l7$$\"1N6O
ZdV=5Fc]l$!1!Hw8Z4E`#Ff]lF&-F+6&F-F.F)F)-%(SCALINGG6#%,CONSTRAINEDG" 
2 346 346 346 2 0 1 0 2 9 0 4 1 1.000000 45.000000 45.000000 10030 0 
10056 10074 0 0 0 20030 0 12010 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 
0 }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 0 {PARA 20 "" 0 "" {TEXT 
-1 9 "Solution." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 39 "f:=2*cos(t)-cos(2*t),2*sin(t)-sin(2*t);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG6$,&-%$cosG6#%\"tG\"\"#-F(6#,$F*
F+!\"\",&-%$sinGF)F+-F2F-F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
40 "plot([f,t=0..2*Pi],scaling=constrained);" }}{PARA 13 "" 1 "" 
{INLPLOT "6$-%'CURVESG6$7ao7$$\"\"\"\"\"!F*7$$\"1yv5l@b=5!#:$\"1x#[z:G
ob#!#=7$$\"1L2#)y96j5F.$\"1$*))Q$32Fl\"!#<7$$\"1%yK'e-**Q6F.$\"1-0'4/<
ar&F77$$\"18[Cd95L7F.$\"1+j61^F]8!#;7$$\"1A3f-kIJ8F.$\"1e+3Vn`nDFB7$$
\"1ABk'pdKT\"F.$\"1%QNmWQ\">TFB7$$\"16-LJ02v9F.$\"140wE:zWhFB7$$\"1%\\
r%zw***\\\"F.$\"1^7!Gn#QN')FB7$$\"1]%Q3fe@Z\"F.$\"1Y&fkoJA9\"F.7$$\"1R
<OQd_x8F.$\"1>$\\\\`nkW\"F.7$$\"1B>4.&RGB\"F.$\"1\"*p$)*4T_r\"F.7$$\"1
mqrH20))**FB$\"1W^?dQ>,?F.7$$\"1[\"ockjP!pFB$\"1&zge#[I^AF.7$$\"1C>r/(
zrI$FB$\"1`qz$Qx!RCF.7$$\"1\"p`(\\ni,:FB$\"1[-6Eir-DF.7$$!1XJkK1)[$RF7
$\"1>(y=Z=5b#F.7$$!1JjuCGpUFFB$\"1:8\"Q&f%pe#F.7$$!1Rj'4@>'p^FB$\"1$Hf
%\\R,)f#F.7$$!13Vu$=GUE(FB$\"1w;F<#=qe#F.7$$!1^_rzb1u$*FB$\"1'[+lTonb#
F.7$$!1\"[(H$p=@=\"F.$\"1=<.`,&p\\#F.7$$!1CGk%RJIU\"F.$\"1I[Ad5a5CF.7$
$!1^Xy_=aI;F.$\"1YFO)*447BF.7$$!1>?dB(p.$=F.$\"1<&)>Lo\\$>#F.7$$!1y/QE
pAQ?F.$\"1T!oSQm5/#F.7$$!1JXC7K`JAF.$\"18$f?&Gam=F.7$$!1?p;e)Q(*R#F.$
\"1c:\"y$yH\"o\"F.7$$!1<9?W4R]DF.$\"1D_^'e[\"z9F.7$$!1oV$Hv\")oo#F.$\"
1N2y+5E_7F.7$$!1f3^)3P/!GF.$\"1?2ju`V65F.7$$!1eItq6?$)GF.$\"1R=kP>R-yF
B7$$!1zf**z3RWHF.$\"1-t%HG/kT&FB7$$!1$Qixc3a)HF.$\"1HeE$f!o&y#FB7$$!15
ihX6(***HF.$\"1<Ir\"z?0C\"F77$$!1JKgW=)o)HF.$!1(\\&[rboTEFB7$$!1Q@;$[I
_%HF.$!1G'[_F.eP&FB7$$!1EpJ8\\<')GF.$!1;0kfgq/xFB7$$!1k[uYRc1GF.$!1$f
\")fTgS'**FB7$$!1gu>IC\\)p#F.$!18q0)Q/.B\"F.7$$!1)ya\"zH\")oDF.$!1pU!f
H!Q^9F.7$$!1NXQL^(QT#F.$!1(4(*eB!)Rm\"F.7$$!1w`]FtmRAF.$!1H1O.pPe=F.7$
$!1&zC`(ez_?F.$!1a[!4?6\"H?F.7$$!1a9x9M,_=F.$!1_+;A#*4z@F.7$$!1%\\4zXT
ok\"F.$!1Z*p<$eL.BF.7$$!1MFLYhJL9F.$!1A.I2o?1CF.7$$!1\")))*R#3P*=\"F.$
!1=%G^[eZ\\#F.7$$!1Jov?CD9%*FB$!1\"=dAM.gb#F.7$$!1*)e\"3*=`zrFB$!1#4e1
]Hye#F.7$$!13y795xi\\FB$!1G&o-@t!)f#F.7$$!1H\\a*)\\JTEFB$!1;zI%R<fe#F.
7$$!1%zR?&)*QBRF7$!1AUbpX*4b#F.7$$\"1o$3\"4Dii:FB$!1&3!3Qr&3]#F.7$$\"1
S5T9;k@MFB$!1spEyxTMCF.7$$\"1zh`-vB$3(FB$!1bO[s\")RRAF.7$$\"1eRaz`mQ**
FB$!18Um!R0h+#F.7$$\"1Uv;F+QC7F.$!1\"GLv)z%zs\"F.7$$\"1bcdVNW!Q\"F.$!1
)pc@1p&R9F.7$$\"12'=?p#*GZ\"F.$!1C&\\ZbP&Q6F.7$$\"1\\R7#y****\\\"F.$!1
'QAN5KEl)FB7$$\"10J#Q$oQv9F.$!1H@ZDYIghFB7$$\"1Rvud(e=T\"F.$!1pI(=Bkd3
%FB7$$\"1y<p0$z<L\"F.$!1O[5^MtuDFB7$$\"19%Rj([)*H7F.$!1@n#*))Q<>8FB7$$
\"11l!*Qt)H9\"F.$!1D)H^$R%H)fF77$$\"1bYhIunm5F.$!1757bz>*z\"F77$$\"1N6
OZdV=5F.$!1!Hw8Z4E`#F1F'-%'COLOURG6&%$RGBG$\"#5!\"\"F*F*-%(SCALINGG6#%
,CONSTRAINEDG" 2 262 262 262 2 0 1 0 2 9 0 4 1 1.000000 45.000000 
45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 
}}}}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 32 "Courbes donnee par une equa
tion." }}{PARA 0 "" 0 "" {TEXT -1 53 "Il faut d'abord charger une libr
airie de procedures :" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "wit
h(plots);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7S%(animateG%*animate3dG%
-changecoordsG%,complexplotG%.complexplot3dG%*conformalG%,contourplotG
%.contourplot3dG%*coordplotG%,coordplot3dG%-cylinderplotG%,densityplot
G%(displayG%*display3dG%*fieldplotG%,fieldplot3dG%)gradplotG%+gradplot
3dG%-implicitplotG%/implicitplot3dG%(inequalG%-listcontplotG%/listcont
plot3dG%0listdensityplotG%)listplotG%+listplot3dG%+loglogplotG%(logplo
tG%+matrixplotG%(odeplotG%'paretoG%*pointplotG%,pointplot3dG%*polarplo
tG%,polygonplotG%.polygonplot3dG%.polyhedraplotG%'replotG%*rootlocusG%
,semilogplotG%+setoptionsG%-setoptions3dG%+spacecurveG%1sparsematrixpl
otG%+sphereplotG%)surfdataG%)textplotG%+textplot3dG%)tubeplotG" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 82 "et on obtient comme reponse la lis
te des nouvelles procedures a notre disposition." }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 45 "contourplot(y^2-x^3-x^2,x=-1.5..0.5,y=-1..1);
" }}{PARA 13 "" 1 "" {INLPLOT "6*-%'CURVESG607$7$$!1++++++?9!#:$!1++++
v$>#)*!#;7$$!1'))*)oK\\VX\"F*$!1-++++++#*F-7$F.7$$!1=b_&>r&*[\"F*$!1:[
uW!)G/&)F-7$7$$!1wCG&*4&[\\\"F*$!1,++++++%)F-F47$F:7$$!1+++++++:F*$!1-
+++]7)G)F-7$7$FA$\"1)*******\\7)G)F-7$$!1Sp7zQZ'\\\"F*$\"1+%p7zQZO)F-7
$7$F;$\"1(************R)F-FI7$FO7$$!1v\"*z=Hpp9F*$\"1\\<*z=Hp*))F-7$7$
F/$\"1(************>*F-FS7$FY7$$!1g-R&3G@W\"F*$\"1,E!R&3G@%*F-7$7$F($
\"1/+++v$>#)*F-Fgn7$7$$!1%=^PnH%39F*$!\"\"\"\"!F'7$F]o7$$!13;?*y')HT\"
F*$\"1%3;?*y')H**F-7$7$$!1&=^PnH%39F*$\"\"\"FfoFho-%'COLOURG6&%$RGBGFb
p#\"\"$\"\"%Ffo-F$6:7$7$F($!1+++++Xu!)F-7$$!1>YY#QO=W\"F*$!1,++++++wF-
7$F`q7$$!1._h[vFd9F*$!1oz%Q^CsA(F-7$7$$!1l%\\66u\\Z\"F*$!1-++++++oF-Ff
q7$F\\r7$FA$!1,+++DJ?hF-7$7$FA$\"1)******\\7.7'F-7$$!1&)oVb)3<[\"F*$\"
1])oVb)3<mF-7$7$F]r$\"1)************z'F-Fir7$F_s7$$!1X(=cMs)e9F*$\"1au
=cMs)=(F-7$7$Faq$\"1)************f(F-Fcs7$Fis7$$!1f;M/R&\\V\"F*$\"1$f;
M/R&\\xF-7$7$F($\"1/++++Xu!)F-F]t7$7$$!1++++++S8F*$!1ommm;aE%*F-7$$!1?
J&[X?ZN\"F*$!1+++++++#*F-7$F\\u7$$!1['\\\">WSw8F*$!1<N]3e&f$))F-7$7$$!
1@v7M<P-9F*F=Fbu7$Fhu7$F($!1,++++Xu!)F-7$Fct7$$!1wK5_Tc39F*$\"1cF.@:k&
G)F-7$7$FiuFPF`v7$Ffv7$$!1aMnE))3z8F*$\"1PXtm#))3z)F-7$7$$!1@J&[X?ZN\"
F*FZFhv7$F^w7$$!1jlYAE#*[8F*$\"1FcmCiA*G*F-7$7$Fht$\"1pmmm;aE%*F-Fbw7$
7$$!17hcQBX&H\"F*FdoFgt7$7$Fht$\"1ommm;aE%*F-7$$!1wL')*\\G\\J\"F*$\"1c
Pj)*\\G\\(*F-7$7$F]xFapFcx-Fdp6&FfpFbp#\"\"&\"\")Ffo-F$6R7$7$F($!1-+++
+DKeF-7$$!1m4gZ$p.W\"F*$!1-++++++_F-7$Fey7$$!1BhG+-9[9F*$!1t(Qr*zf=\\F
-7$7$$!1(>Cn;hCY\"F*$!1-++++++WF-F[z7$Faz7$$!1&Q`3>`^Z\"F*$!1^hY\"4o%[
QF-7$7$$!1dN*f,r3[\"F*$!1-++++++OF-Fgz7$F][l7$$!1(o'QQeg%\\\"F*$!1HJ8;
;%R&GF-7$7$$!1W!4a*))f&\\\"F*$!1,++++++GF-Fc[l7$Fi[l7$FA$!1+++++D\"[#F
-7$7$FA$\"1(********\\7[#F-7$$!1wO/[G8'\\\"F*$\"1fnV![G8w#F-7$7$Fj[l$
\"1*************z#F-Ff\\l7$F\\]l7$$!1w`P2^%Q[\"F*$\"1kPvt5XQMF-7$7$F^[
l$\"1*************f$F-F`]l7$Ff]l7$$!1#))fyn$[p9F*$\"1?))fyn$[4%F-7$7$F
bz$\"1*************R%F-Fj]l7$F`^l7$$!1EC*R#HF`9F*$\"1iU#*R#HFt%F-7$7$F
fy$\"1*************>&F-Fd^l7$Fj^l7$$!1z%*))pfSN9F*$\"1'y%*))pfSN&F-7$7
$F($\"1*********\\A$eF-F^_l7$7$Fht$!1BAAAA(**f(F-7$$!1%*eecg)*y8F*F_r7
$F[`l7$$!1IF6W>y39F*$!1.F()e0=7hF-7$7$$!1A=UK:k89F*$!1-++++++gF-F_`l7$
Fe`lFby7$Fd_l7$$!1')ob@#*Q:9F*$\"1h)ob@#*Q&fF-7$7$Ff`l$\"1************
**fF-F\\al7$Fbal7$$!1+m*z#GQ\"R\"F*$\"1&*f'*z#GQ^'F-7$7$F\\`lF`sFfal7$
F\\bl7$$!1!Gvn)=@m8F*$\"1*z_x')=@1(F-7$7$Fht$\"1GAAAA(**f(F-F^bl7$7$$!
1++++++g7F*$!1(4444fhz)F-7$$!1zPNm+@)G\"F*F=7$F]cl7$$!1r)Q2T&**R8F*$!1
\"H6E*e/+wF-7$7$$!1[^h\"Q)**R8F*FcqFacl7$FgclFh_l7$Fdbl7$$!1`0Sx*)**R8
F*$\"1Ab+u(*)**f(F-7$7$FhclFjsF\\dl7$7$Fhcl$\"1(************f(F-7$$!1U
'oZuh&38F*$\"18koZuh&3)F-7$7$F^cl$\"1'************R)F-Fgdl7$7$F^clFP7$
$!1z:q#)pZw7F*$\"1'y:q#)pZc)F-7$7$Fibl$\"1&4444fhz)F-Fbel7$7$$!1++++++
!=\"F*$!1++++DJu'*F-7$$!1'=uB\">$\\A\"F*F_u7$7$Fbfl$!1*************>*F
-Fhbl7$Fhel7$$!1n@Z!fI7C\"F*$\"1l;s/fI7!*F-7$7$FbflFZFifl7$F_gl7$$!1+
\"RE)Q2.7F*$\"1,5RE)Q2V*F-7$7$F]fl$\"1/+++DJu'*F-Fagl7$7$$!1z9^G&499\"
F*FdoF\\fl7$Fggl7$$!1)*H(*)ePB;\"F*$\"1w*H(*)ePB)*F-7$7$F\\hlFapF_hl-F
dp6&FfpFbp#Fbp\"\"#Ffo-F$6]r7$7$F($!1/++++]`;F-7$$!1F=KLW<C9F*$!1-++++
++7F-7$F`il7$$!1*R7#HePC9F*$!17g(yqTi:\"F-7$7$$!1*pvJScyU\"F*$!1<+++++
+S!#<Ffil7$F\\jl7$F]jl$!13,V#ofV@$Fajl7$7$F]jl$\"1$)************RFajlF
cjl7$Fgjl7$$!1^F*[s5vU\"F*$\"1*4v#*[s5v%Fajl7$7$Fail$\"1)************>
\"F-F[[m7$Fa[m7$$!1T$\\(oD#QU\"F*$\"19M\\(oD#Q7F-7$7$F($\"11++++]`;F-F
e[m7$7$Fht$!1PLLLL$o9&F-7$$!1\\K+[UEk8F*Fdz7$Fb\\m7$$!1T9_$psKP\"F*$!1
&f&ykIFnSF-7$7$$!1/2S?R#fQ\"F*F`[lFf\\m7$F\\]m7$$!1-Z<Z5i)R\"F*$!1$)HD
G&*y8IF-7$7$$!1o'=$e;D.9F*$!1-++++++GF-F`]m7$Ff]m7$$!1T0&zj>bT\"F*$!1(
e%\\?O![/#F-7$7$$!1TrvhuC;9F*$!1-++++++?F-F\\^m7$Fb^mF]il7$F[\\m7$$!1H
_PWTh;9F*$\"1*G_PWTh'>F-7$7$Fc^m$\"1)*************>F-Fi^m7$F__m7$$!1So
@u@f09F*$\"1%Ro@u@fl#F-7$7$Fg]mF]]lFc_m7$Fi_m7$$!1%olJl!*>R\"F*$\"1Qol
Jl!*>LF-7$7$F]]mFg]lF[`m7$Fa`m7$$!1(pU;MRhP\"F*$\"1tpU;MRhRF-7$7$Fc\\m
$\"1)************R%F-Fc`m7$7$Fc\\mFa^l7$$!1Z&>,49$e8F*$\"1ka>,49$e%F-7
$7$Fht$\"1QLLLL$o9&F-F^am7$7$Fibl$!1RLLLLL/oF-7$$!1+p.oCDg7F*F_r7$7$$!
1**o.oCDg7F*F_r7$$!1='fcmB0E\"F*$!1BQSVLw%z'F-7$7$$!1&*fC?Jo,8F*Fh`lFb
bm7$7$Fibm$!1,++++++gF-7$$!1\"zK[tBiL\"F*$!1%4s;lixB&F-7$7$$!1`*G4%\\$
zL\"F*FhyF_cm7$FecmF_\\m7$Fdam7$$!1u;;ZE^Q8F*$\"1Rnhrk7&=&F-7$7$FfcmF[
_lFjcm7$7$Ffcm$\"1+++++++_F-7$$!1_4b2=j88F*$\"1A&4b2=jt&F-7$7$FibmFcal
Fedm7$F[em7$$!1vS#)\\8Y(G\"F*$\"1_2C)\\8YF'F-7$7$F\\bmF`sF]em7$Fcem7$$
!1cQ^D&f,E\"F*$\"1j&Q^D&f,oF-7$7$Fibl$\"1RLLLLL/oF-Feem7$7$F]fl$!1.+++
+I(*yF-7$$!1i\\e3&pM?\"F*$!1+++++++wF-7$Fbfm7$Fibl$!1QLLLLL/oF-7$F[fm7
$$!1tP!>]]pA\"F*$\"1Ix.>]]psF-7$7$FcfmFjsF\\gm7$Fbgm7$$!1YfF%p:J>\"F*$
\"1e%fF%p:JxF-7$7$F]fl$\"10++++I(*yF-Fdgm7$7$$!1+++++++6F*$!1eaaaaaz')
F-7$$!1-YOtGOI6F*F=7$FchmF_fm7$Fjgm7$$!1:Pf?U-b6F*$\"1_r$f?U-:)F-7$7$F
dhm$\"1*************R)F-Fhhm7$7$FdhmFP7$$!1IGf!\\aX6\"F*$\"1$HGf!\\aX&
)F-7$7$F_hm$\"1faaaaaz')F-Fcim7$7$$!1++++++?5F*$!1.++++vW#*F-7$$!1#Gyz
Ugo-\"F*F_u7$FbjmF^hm7$Fiim7$$!1KLh^Bfp5F*$\"1;L8;N#f*))F-7$7$$!1$GyzU
go-\"F*FZFgjm7$F][n7$$!1k:gf$3F-\"F*$\"1Oc,'f$3F#*F-7$7$F^jm$\"1.++++v
W#*F-Fa[n7$F]jm7$$!1y&\\[(QQ65F*$!1<U]^7;'G*F-7$7$$!1(************R*F-
$!1+++++DH'*F-F[\\n7$Fg[n7$$!16@+b8\"**o*F-$\"17@+b8\"**[*F-7$7$$!1'**
**********R*F-$\"1/++++DH'*F-Fg\\n7$Fa\\n7$$!1AG4\")GKg()F-$!1ur!*=rnR
)*F-7$7$$!1(************f)F-$!1ommmmT#*)*F-Fc]n7$F]]n7$$!1B!yP5A57*F-$
\"1C!yP5A5s*F-7$7$Fj]n$\"1qmmmmT#*)*F-F_^n7$7$$!18/j\\!*pa!)F-FdoFi]n7
$Fe^n7$$!14t<BW95&)F-$\"18t<BW95**F-7$7$$!1G/j\\!*pa!)F-FapF]_n7$7$$!1
)*************\\F-Fdo7$$!1%=&4/=#ek%F-$!19[!f>yT&**F-7$7$$!1)*********
***f%F-$!1+++++D[**F-Fj_n7$7$Fa`n$\"1.++++D[**F-7$$!1r************\\F-
Fap7$7$Fa`n$!1,++++D[**F-7$$!1y*e\"=c`bRF-$!1>5%=QkW%)*F-7$7$$!1)*****
*******z$F-$!1nmmmmT>)*F-F`an7$Ff`n7$$!1h$RXO;$QXF-$\"1i$RXO;$Q**F-7$7
$Fgan$\"1pmmmmT>)*F-F\\bn7$Ffan7$$!1FZA:n!=F$F-$!1r_x%G$>G(*F-7$7$$!1)
*************HF-$!1+++++D\"o*F-Ffbn7$Fbbn7$$!1[N_^ur\"e$F-$\"1[N_^ur\"
y*F-7$7$F]cn$\"1-++++D\"o*F-Fbcn7$F\\cn7$$!1uFTP\")o'e#F-$!1Esei=J8'*F
-7$7$$!1)************>#F-$!1*********\\(\\&*F-F\\dn7$7$F]cn$\"1,++++D
\"o*F-7$$!1TnF!**[&=EF-$\"1TnF!**[&='*F-7$7$Fcdn$\"1,++++v\\&*F-F[en7$
7$Fcdn$!1+++++v\\&*F-7$$!1o<&4xK@*=F-$!1I#[!Hs'y]*F-7$7$$!1(**********
**R\"F-$!1mmmmm\"4W*F-Fhen7$Faen7$$!1f/I#=_)y;F-$\"1f/I#=_)y%*F-7$7$F_
fn$\"1ommmm\"4W*F-Fdfn7$7$F_fn$!1nmmmm\"4W*F-7$$!1B2,k)4&y6F-$!1u#*)f8
!\\@%*F-7$7$$!1t************fFajl$!1,++++vq$*F-Fagn7$Fjfn7$$!1s=R'>g;(
yFajl$\"1(=R'>g;(Q*F-7$7$Fhgn$\"1+++++vq$*F-F]hn7$7$$!1s************fF
ajl$!1+++++vq$*F-7$$!1;6%f,a\\K%Fajl$!1')eS)f/vO*F-7$7$$\"1F++++++?Faj
l$!1,++++Db$*F-F\\in7$7$Fhgn$\"1,++++vq$*F-7$$\"154CQ+EoT!#=$\"1#f<'*R
<$e$*F-7$7$Fcin$\"1,++++Db$*F-F[jn7$Fbin7$$\"1epeLr[nOFajl$!1%peLr[nO*
F-7$7$$\"1.++++++5F-$!1nmmmmT5%*F-Ffjn7$Fbjn7$$\"15z#Gzs:.)Fajl$\"14sr
?F%oR*F-7$7$F][o$\"1ommmmT5%*F-Fb[o7$F\\[o7$$\"1'yR@&4wb7F-$!1#yR@&4wb
%*F-7$7$$\"1.++++++=F-$!1,++++D_&*F-F\\\\o7$Fh[o7$$\"1MbB>jz+:F-$\"1oW
w!o.#*\\*F-7$7$Fc\\o$\"1-++++D_&*F-Fh\\o7$Fb\\o7$$\"16H2H2H2BF-$!13H2H
2H2(*F-7$7$$\"1.++++++EF-$!1,++++v'z*F-Fb]o7$F^]o7$$\"1<9O0#RH9#F-$\"1
'eQYzgql*F-7$7$Fi]o$\"1.++++v'z*F-F^^o7$7$$\"1m6u:$Gx/$F-Fdo7$Fi]o$!1-
++++v'z*F-7$Fd^o7$$\"1_V(4!3zRFF-$\"1^c-*>4-')*F-7$7$$\"1e6u:$Gx/$F-Fa
pF__o-Fdp6&FfpFbp#FhpF^yFfo-F$6bs7$7$Fibl$!12++++0kQF-7$$!1yHS!pY&o7F*
F`[l7$Fa`o7$$!1+m#e3L:F\"F*$!1/StT\"pY[$F-7$7$$!1Ev];?E*G\"F*Fi]mFe`o7
$F[ao7$$!1^\"))4_9jH\"F*$!1)\\=,zaoV#F-7$7$$!1Pf36&)z/8F*Fe^mF_ao7$Fea
o7$$!1b$[\"Q7Y68F*$!1`k^=wQ&[\"F-7$7$$!15#QT<c^J\"F*FcilFiao7$F_bo7$$!
1B>\"4(Q(*=8F*$!1Vx!)3Hh-hFajl7$7$$!1ZVm0]L?8F*F_jlFcbo7$7$Fjbo$!1;+++
+++SFajl7$Fjbo$\"14ZVm0]L?Fajl7$7$FjboFhjlF`co7$Fdco7$$!1nmmmmm;8F*$\"
1wmmmmmm'*Fajl7$7$$!16#QT<c^J\"F*Fb[mFfco7$F\\do7$$!14&)yVO$)38F*$\"1%
3&)yVO$)o\"F-7$7$FfaoF`_mF`do7$Ffdo7$$!1<D<8K^(H\"F*$\"1n^sJ@8vBF-7$7$
F\\aoF]]lFhdo7$F^eo7$$!1pRZZLC$G\"F*$\"1&oRZZLC.$F-7$7$Fb`oFg]lF`eo7$F
feo7$$!1.ubznXm7F*$\"1KSd&znXm$F-7$7$Fibl$\"12++++0kQF-Fheo7$7$F]fl$!1
w&G9dy\"zbF-7$$!1(RhnA`4?\"F*Fhy7$Fefo7$$!1iK!Rx3)>7F*$!1xt'4E7>![F-7$
7$$!1=Fpqa%)Q7F*FdzFifo7$F_goF^`o7$F^fo7$$!1D-B>B$[C\"F*$\"1^AI#>B$[UF
-7$7$F`goFa^lFdgo7$Fjgo7$$!1-xZ*pJ*>7F*$\"1?qx%*pJ*z%F-7$7$FffoF[_lF\\
ho7$Fbho7$$!1-Ef9c\\$>\"F*$\"1@g#f9c\\L&F-7$7$F]fl$\"1w&G9dy\"zbF-Fdho
7$7$F_hm$!1/++]7`WmF-7$$!1GssaL\"4:\"F*Fh`l7$FaioFbfo7$7$F]fl$\"1v&G9d
y\"zbF-7$$!1p9%40,G;\"F*$\"1&o9%40,GeF-7$7$FbioFcalFiio7$F_jo7$$!1.J]_
VWG6F*$\"1I5.DNW%G'F-7$7$F_hm$\"1/++]7`WmF-Fajo7$7$F^jm$!1PLLLLedtF-7$
$!1w\\#y]5T3\"F*F_r7$F^[pF^io7$Fgjo7$$!1l6tT=9#4\"F*$\"1U;J<%=9s'F-7$7
$$!1x\\#y]5T3\"F*F`sFc[p7$Fi[p7$$!1e\")R?<#)\\5F*$\"1y:)R?<#)4(F-7$7$F
^jm$\"1PLLLLedtF-F]\\p7$7$F^]n$!1.+++]AVyF-7$$!1([a\\^;<#)*F-Fcq7$Fj\\
pF[[p7$Fc\\p7$$!1Ks/.gA05F*$\"1BBZI+E_uF-7$7$$!1$\\a\\^;<#)*F-FjsF_]p7
$Fe]p7$$!1TzcurDa&*F-$\"1TzcurDaxF-7$7$$!1&************R*F-$\"1.+++]AV
yF-Fi]p7$Fg\\p7$$!1;0%RET\")**)F-$!1\"[fgte=+)F-7$7$Fj]n$!1,+++]-f\")F
-Fe^p7$F_^p7$$!1'=khf13+*F-$\"1(=khf13+)F-7$7$Fj]n$\"1-+++]-f\")F-F__p
7$F[_p7$$!1v_8zGdnyF-$!1BZ'37FCL)F-7$7$$!1(************z(F-$!1++++]U[$
)F-Fi_p7$Fe_p7$$!1d_<RY:0%)F-$\"1e_<RY:0#)F-7$7$$!1)************z(F-$
\"1-+++]U[$)F-Fe`p7$7$$!1)*************pF-$!144444%yU)F-7$$!1@0)z_`!)H
(F-$!1-++++++%)F-7$7$FgapF=F_`p7$F[ap7$$!1FP'*f0B`xF-$\"1FP'*f0B`$)F-7
$7$$!1j0)z_`!)H(F-F_imF^bp7$7$$!1h0)z_`!)H(F-FP7$$!17D\"=[ia-(F-$\"18D
\"=[iaU)F-7$7$$!1(*************pF-$\"144444%yU)F-F[cp7$7$Fbcp$!134444%
yU)F-7$$!1^uJ'QTB(pF-$!1ZDo8'ewU)F-7$7$$!1)************>'F-$!1#====oDU
)F-Fjcp7$Facp7$$!1M4_8zrAiF-$\"1M4_8zrA%)F-7$7$Fadp$\"1#====oDU)F-Ffdp
7$F`dp7$$!15Vaua>zhF-$!1)oba_/3U)F-7$7$$!1<z&3;!yLfF-F=F`ep7$Ffep7$$!1
];'[QHbW&F-$!1]$Q^hqWN)F-7$7$$!1)************R&F-$!1++++]A]$)F-Fjep7$7
$Fafp$\"1++++]A]$)F-7$$!1yy&3;!yLfF-F_im7$FifpF\\ep7$F`fp7$$!1/PG4^f]Z
F-$!1&H;2*[S\\#)F-7$7$$!1(************f%F-$!1********\\-E#)F-F^gp7$7$F
afp$\"1,+++]A]$)F-7$$!17vyTs2T`F-$\"17vyTs2T$)F-7$7$Fa`n$\"1++++]-E#)F
-F]hp7$7$Fa`n$!1++++]-E#)F-7$$!1Z&>zSh`2%F-$!1`/3#fQY7)F-7$7$Fgan$!1++
++]Ur!)F-Fjhp7$7$Fa`n$\"1********\\-E#)F-7$$!1Cw?!z]VQ%F-$\"1Cw?!z]V=)
F-7$7$Fgan$\"1,+++]Ur!)F-Fgip7$F`ip7$$!1%=9N20&4MF-$!19e[E\\\\!*zF-7$7
$F]cn$!1,+++]i0zF-Fajp7$7$Fgan$\"1++++]Ur!)F-7$$!1Nb&42DbQ$F-$\"1Nb&42
Db)zF-7$7$F]cn$\"1,+++]i0zF-F^[q7$Fgjp7$$!1I?_+vsWFF-$!1qzZ*\\s_&yF-7$
7$Fcdn$!1********\\#yu(F-Fh[q7$Fd[q7$$!1WNUS#[TQ#F-$\"1VNUS#[Ty(F-7$7$
Fcdn$\"1********\\#yu(F-Fb\\q7$F^\\q7$$!1^\\K'p?H2#F-$!1[]n.$zqs(F-7$7
$F_fn$!1++++]A<wF-F\\]q7$7$Fcdn$\"1++++]#yu(F-7$$!1?R/*f&e?9F-$\"1?R/*
f&e?wF-7$7$F_fn$\"1++++]A<wF-Fi]q7$Fb]q7$$!1?#e1H:WQ\"F-$!1x<M4Ze:wF-7
$7$$!1c`vU?MO7F-FcqFc^q7$7$Fj^qFefm7$$!1$fvg<_im'Fajl$!1SCR#yuL`(F-7$7
$Fhgn$!1LLLLLeDvF-F^_q7$7$Fhgn$\"1LLLLLeDvF-7$$!1B`vU?MO7F-Fjs7$F[`qF_
^q7$Fd_q7$$\"1HGj\"H6J2\"Fajl$!1\"Gj\"H6J2vF-7$7$Fcin$!1mmmmm\"\\](F-F
``q7$Fh_q7$$!1*>6,B*4O_Fajl$\"1@6,B*4O_(F-7$7$Fcin$\"1nmmmm\"\\](F-Fj`
q7$Ff`q7$$\"16`sTW#Hw*Fajl$!1HD<WCHwvF-7$7$F][o$!1AAAAAZyvF-Fdaq7$F`aq
7$$\"1j]B'zq2(GFajl$\"1&\\w.#H#H^(F-7$7$F][o$\"1AAAAAZyvF-F^bq7$7$Fc\\
o$!1,+++]#3v(F-7$$\"1u(*>I$p54\"F-Fcq7$F[cq7$F][o$!1@AAAAZyvF-7$Fdbq7$
$\"1(3pv\"=T<5F-$\"194V#=)e#e(F-7$7$$\"1d(*>I$p54\"F-FjsFccq7$Ficq7$$
\"10'>**)Qjv;F-$\"1'R!35hOCxF-7$7$Fc\\o$\"1,+++]#3v(F-F]dq7$Fhbq7$$\"1
]%*zvg<Q?F-$!1[%*zvg<QyF-7$7$Fi]o$!1++++]AW!)F-Fgdq7$Fcdq7$$\"1;0aNr(
\\F#F-$\"1%[fW'G-DzF-7$7$Fi]o$\"1-+++]AW!)F-Faeq7$7$$\"1.++++++MF-$!1,
++++vs%)F-7$$\"1[?E^x4`KF-F=7$F`fqF]eq7$7$Fi]o$\"1++++]AW!)F-7$$\"1?kF
[BJIGF-$\"1zNs^wop\")F-7$7$$\"1T?E^x4`KF-F_imFhfq7$7$F_gqFP7$$\"1'[Q#*
=X8N$F-$\"19:w5[l[%)F-7$7$F\\fq$\"1-++++vs%)F-Fcgq7$F[fq7$$\"1U;8y#Rli
$F-$!1S;8y#Rli)F-7$7$$\"1.++++++UF-$!174444%e,*F-F]hq7$Figq7$$\"1_Ql5*
zJ$QF-$\"1\\hM*3?ow)F-7$7$Fdhq$\"164444%e,*F-Fihq7$7$$\"1.++++++]F-$!1
.+++voz'*F-7$$\"1%\\Zs!)\\#3WF-F_u7$FhiqFchq7$F_iq7$$\"1)\\.5[KxH%F-$
\"1-l**=vE-\"*F-7$7$$\"1#\\Zs!)\\#3WF-FZF]jq7$7$$\"1\"\\Zs!)\\#3WF-$\"
1)************>*F-7$$\"1H\"eGwq]t%F-$\"1t=9P#H\\Y*F-7$7$$\"1/++++++]F-
$\"10+++voz'*F-F\\[r-Fdp6&FfpFbp#FbpFipFfo-F$6dr7$7$F_hm$!10++++]2OF-7
$$!1rM%*y-P+6F*F`[l7$F`\\r7$$!1SS5&*>h+6F*$!12'f*[+)Qf$F-7$7$$!1vHX:u'
>8\"F*Fi]mFd\\r7$Fj\\r7$$!1SireEUX6F*$!1+w$GTtdM#F-7$7$$!1-^$yElc:\"F*
Fe^mF^]r7$7$$!1.^$yElc:\"F*Fe^m7$$!1F\"RGFj$p6F*$!1M(3;FnjI\"F-7$7$$!1
b)*3OQYr6F*FcilF[^r7$7$$!1a)*3OQYr6F*Fcil7$$!1O#*GWLHz6F*$!15k2rbmqSFa
jl7$7$$!1Js@?JOz6F*F_jlFh^r7$F^_r7$F__r$\"1OIs@?JORFajl7$7$F__rFhjlFb_
r7$Ff_r7$$!1\")\\Lf4Bs6F*$\"15)\\Lf4B7\"F-7$7$Fb^rFb[mFh_r7$7$Ff^rFb[m
7$$!1u7#oTy'f6F*$\"1SF@oTy'z\"F-7$7$Fe]rF`_mFa`r7$7$Fi]rF`_m7$$!1_X5,U
%H9\"F*$\"1;b/6?WHCF-7$7$F[]rF]]lFj`r7$F`ar7$$!1a.+)H;H7\"F*$\"1SN+!)H
;HIF-7$7$Fa\\rFg]lFbar7$Fhar7$$!1j-\"H*yC+6F*$\"1HE5H*yCg$F-7$7$F_hm$
\"10++++]2OF-Fjar7$7$F^jm$!10++++D$y%F-7$$!1&4%y&>x$\\5F*Fdz7$FgbrF]\\
r7$F`br7$$!1,ATN$4\"p5F*$\"10?7aL4\"4%F-7$7$FhbrFa^lF\\cr7$Fbcr7$$!1gk
</*Hm.\"F*$\"1,YwT!*HmXF-7$7$F^jm$\"1/++++D$y%F-Fdcr7$7$F^]n$!1u&G9dG>
]&F-7$$!1$\\!)\\$*\\kw*F-Fhy7$FadrFdbr7$Fjcr7$$!1ty&o'z]()**F-$\"1ty&o
'z]()\\F-7$7$$!1(\\!)\\$*\\kw*F-F[_lFfdr7$F\\er7$$!1yBb(\\Pbc*F-$\"1\"
Q_v\\PbO&F-7$7$F^]n$\"1u&G9dG>]&F-F`er7$7$F`^pF_dr7$$!10nh2nh2()F-$!1%
H$Q#H$Q#*eF-7$7$Fj]n$!1H9dG92`fF-F[fr7$7$F`^pFger7$$!1YVVia_\"3*F-$\"1
ZVVia_\"o&F-7$7$Fj]n$\"1I9dG92`fF-Fffr7$7$F``p$!1++++vo&>'F-7$$!16n7Sg
Ch%)F-Fh`l7$Fcgr7$Fj]n$!1I9dG92`fF-7$F\\gr7$$!1WkbX>$\\c)F-$\"1YkbX>$
\\'fF-7$7$$!1An7SgCh%)F-FcalF[hr7$Fahr7$$!1:XTB2+^zF-$\"1<XTB2+^hF-7$7
$F``p$\"1++++vo&>'F-Fehr7$F`gr7$$!1uSn!3vad(F-$!1BfK>\\_CiF-7$7$Fbcp$!
1++++vV)H'F-F_ir7$7$$!1'************z(F-F\\ir7$$!1G+*fnpWE(F-$\"1J+*fn
pWE'F-7$7$Fbcp$\"1++++vV)H'F-F\\jr7$Feir7$$!1n$G'*zUUq'F-$!1K;P+sv&H'F
-7$7$Fadp$!1*******\\(=\"H'F-Ffjr7$Fbjr7$$!1'eS._]Q\\'F-$\"1(eS._]QH'F
-7$7$Fadp$\"1*******\\(=\"H'F-F`[s7$F\\[s7$$!1+7FZ2@RfF-$!1+)GFD*ygiF-
7$7$Fafp$!1++++v$z>'F-Fj[s7$Ff[s7$$!1GWCnP0CcF-$\"1GWCnP0CiF-7$7$Fafp$
\"1*******\\Pz>'F-Fd\\s7$7$Fafp$!1*******\\Pz>'F-7$$!1F@Zw=BM_F-$!1ty_
B\"od;'F-7$7$$!1*************f%F-$!1*******\\(oUgF-Fa]s7$Fj\\s7$$!1rX*
fEmHl%F-$\"1sX*fEmH0'F-7$7$Fa`n$\"1*******\\(oUgF-F]^s7$7$Fa`nFj]s7$$!
1Cl'4#zhlXF-$!1xM.z?QMgF-7$7$$!1YW4**eGBWF-Fh`lFh^s7$F^_s7$$!1GfMoY%[$
RF-$!1sSlJ`:leF-7$7$Fgan$!1q&G9dGz#eF-Fb_s7$7$Fgan$\"1r&G9dGz#eF-7$$!1
KW4**eGBWF-Fcal7$F_`s7$FegpFd^s7$Fh_s7$$!1^#zc\"R^:LF-$!1]2K%3'[%o&F-7
$7$F]cn$!1G9dG92\"f&F-Fe`s7$F\\`s7$$!1abbbbbbNF-$\"1cbbbbbbdF-7$7$F]cn
$\"1G9dG92\"f&F-F_as7$F[as7$$!1kOl'3,\\p#F-$!1OjM8*)40bF-7$7$Fcdn$!1cG
9dGkl`F-Fias7$Feas7$$!1yOgE:jICF-$\"1zOgE:jIaF-7$7$Fcdn$\"1cG9dGkl`F-F
cbs7$7$Fcdn$!1dG9dGkl`F-7$$!1v&Qc,#ol?F-$!1D9O%)zJM`F-7$7$$!1DM4j'R(*[
\"F-FhyF`cs7$Ffcs7$$!18&y^B%>>9F-$!1([@[w03=&F-7$7$F_fn$!1KLLLLev^F-Fj
cs7$7$F_fn$\"1LLLLLev^F-7$$!14M4j'R(*[\"F-F[_l7$FgdsFibs7$F`ds7$$!1\"3
PuiI;S(Fajl$!1#Hcs$p$)f]F-7$7$Fhhn$!1*********\\_.&F-F\\es7$Fdds7$$!1j
mR&3*Qq8F-$\"1lmR&3*Qq^F-7$7$Fhgn$\"1+++++DN]F-Ffes7$Fbes7$$\"1#yRqlM_
:\"F^jn$!1)RqlM_:,&F-7$7$Fcin$!1+++++D/]F-F`fs7$F\\fs7$$!1/xuDe3'G%Faj
l$\"1sZd#e3'G]F-7$7$Fcin$\"1+++++D/]F-Fjfs7$7$Fcin$!1,++++D/]F-7$$\"1L
.G!=$=4!*Fajl$!1L!G!=$=45&F-7$7$F][o$!1LLLLLe9^F-Fggs7$F`gs7$$\"1fG/$*
*[-s$Fajl$\"1;dp+^(z-&F-7$7$F][o$\"1LLLLLe9^F-Fahs7$7$Fc\\o$!1t&G9dG*p
`F-7$$\"1L+)p1$*3C\"F-Fhy7$F^isF]hs7$Fghs7$$\"1XGw?v0j5F-$\"1erBzC%p8&
F-7$7$$\"1B+)p1$*3C\"F-F[_lFcis7$Fiis7$$\"1(4_)R&z'p;F-$\"10z9g/KI`F-7
$7$Fc\\o$\"1t&G9dG*p`F-F]js7$7$Fc\\o$!1s&G9dG*p`F-7$$\"1,(3[BRp:#F-$!1
,(3[BRpb&F-7$7$Fi]o$!1I9dG92*y&F-Fjjs7$Fcjs7$$\"1;n0u?X8AF-$\"1'GVf#za
'e&F-7$7$Fi]o$\"1J9dG92*y&F-Fd[t7$7$F\\fq$!1.+++v=gjF-7$$\"1xiFi</rGF-
Fh`l7$Fa\\t7$Fi]o$!1G9dG92*y&F-7$Fj[t7$$\"1')\\U'>='=FF-$\"1;]d.=Q\")e
F-7$7$$\"1siFi</rGF-FcalFi\\t7$F_]t7$$\"1<p?`As&=$F-$\"1&3$zYxF9iF-7$7
$F\\fq$\"1.+++v=gjF-Fc]t7$7$Fdhq$!1PLLLL$G2(F-7$$\"1?c1#4v6(QF-F_r7$F`
^tF^\\t7$Fi]t7$$\"1&yNy'pZFOF-$\"1;U;KI_slF-7$7$$\"1:c1#4v6(QF-F`sFe^t
7$F[_t7$$\"1](\\H6))30%F-$\"1^-0()=6\\pF-7$7$Fdhq$\"1PLLLL$G2(F-F__t7$
7$Fc[r$!1.++++v.zF-7$$\"1IAjS4u(o%F-Fcq7$F\\`tF]^t7$7$$\"1/++++++UF-Ff
_t7$$\"1z`\"G,WLX%F-$\"1BY=()flYtF-7$7$$\"1FAjS4u(o%F-FjsFd`t7$7$$\"1E
AjS4u(o%F-Fjs7$$\"1KK]>r-Y[F-$\"1pn\\!)G(Rv(F-7$7$Fdiq$\"1.++++v.zF-Fa
at-Fdp6&FfpFbp#FbpF^yFfo-F$6fp7$7$Fj]n$!1smmmm\"40#F-7$$!1s2#oP&pQ')F-
Fe^m7$Fcbt7$$!1b?g*)QVy')F-$!1VzR5hc@>F-7$7$$!1\\L\\*>:S/*F-FcilFgbt7$
F]ct7$$!1='\\&)[cY>*F-$!1\"z.X6NM0'Fajl7$7$$!1R'H36vmC*F-F_jlFact7$Fgc
t7$$!1S'H36vmC*F-$\"1@kH36vmCFajl7$7$$!1T'H36vmC*F-FhjlF[dt7$Fadt7$$!1
jXVgw'f6*F-$\"1]cM/mnf\"*Fajl7$7$$!1_L\\*>:S/*F-Fb[mFedt7$F[et7$$!1R()
*pl.Z*))F-$\"1S()*pl.Z\\\"F-7$7$$!1t2#oP&pQ')F-F`_mF_et7$Feet7$$!1^l,E
j)>i)F-$\"1`l,Ej)>-#F-7$7$Fj]n$\"1qmmmm\"40#F-Fiet7$F`bt7$$!1.arB!)\\e
$)F-$!1'f%Gw>]TAF-7$7$F``p$!1,++++D#o#F-Fcft7$F_ft7$$!1kk'fxA8=)F-$\"1
mk'fxA8Q#F-7$7$Fjir$\"1-++++D#o#F-F]gt7$7$Fbcp$!1,+++v=<HF-7$$!1P?czV?
cuF-Fi]m7$FjgtFift7$7$F``pFdgt7$$!1&H$z-0H7xF-$\"1)H$z-0H7FF-7$7$$!1\\
?czV?cuF-F]]lF`ht7$Ffht7$$!1h^U&>PK4(F-$\"1i^U&>PK*GF-7$7$Fbcp$\"1,+++
v=<HF-Fjht7$Fggt7$$!1gb'3r)*[)oF-$!1RW8*G,^\"HF-7$7$Fadp$!1++++vo-HF-F
dit7$F`it7$$!1%[4\"oIe/jF-$\"1&[4\"oIe/HF-7$7$Fadp$\"1++++vo-HF-F^jt7$
Fjit7$$!1OnF)zDn6'F-$!1kKs,UF$)GF-7$7$$!1mMFEu^fdF-Fi]mFhjt7$F^[u7$$!1
RQ_76D&[&F-$!1ghZ())[Zr#F-7$7$Fafp$!1*********\\#)o#F-Fb[u7$7$Fafp$\"1
+++++D)o#F-7$$!1`MFEu^fdF-F]]l7$F_\\u7$$!1*************>'F-Fejt7$Fh[u7
$$!1@`6!*zXY\\F-$!1zY))4?a`CF-7$7$Fa`n$!1*********\\UF#F-Fg\\u7$F\\\\u
7$$!1?MQ#y$Ro^F-$\"1@MQ#y$RoDF-7$7$Fegp$\"1*********\\UF#F-Fa]u7$7$Fh]
sF^]u7$$!1guOv\")>LWF-$!1SDjC=!o;#F-7$7$$!1T+*[9cU<%F-Fe^mF\\^u7$Fb^u7
$$!1%3;R3;R)RF-$!1;R3;R3;=F-7$7$Fgan$!1)*******\\PQ;F-Ff^u7$7$Fgan$\"1
(*******\\PQ;F-7$$!1O+*[9cU<%F-F`_m7$Fc_uFg]u7$F\\_u7$$!1YH!)[Xr%e$F-$
!1aq>^aG:9F-7$7$$!1@O+$>gpP$F-FcilFh_u7$F^`u7$$!1TJml<FaKF-$!1*eoLM#Gd
%*Fajl7$7$F]cn$!1h********\\(=%FajlFb`u7$7$F]cn$\"1O********\\(=%Fajl7
$$!1<O+$>gpP$F-Fb[m7$7$$!1=O+$>gpP$F-Fb[mF`_u7$Fh`u7$$!1$4,$y@p$*HF-$!
1l!*)p@yI1%Fajl7$7$$!1[zd'H%\\!*HF-F_jlFgau7$7$F^buF^co7$$!1Zzd'H%\\!*
HF-$\"1u%zd'H%\\!RFajl7$7$FcbuFhjlFbbu7$FhbuF\\au7$7$Fi]o$!12+++]P-:F-
7$$\"1X]!yl0^V#F-Fcil7$F^cu7$$\"1P4+(f*GtBF-$!1f$4+(f*Gt*Fajl7$7$$\"1D
H8:M(p@#F-F_jlFbcu7$Fhcu7$Ficu$!1FBH8:M(p\"F^jn7$7$$\"1CH8:M(p@#F-Fhjl
F\\du7$F`du7$$\"1\\)[k)e.*H#F-$\"1C:^N6k4qFajl7$7$$\"1W]!yl0^V#F-Fb[mF
ddu7$7$$\"1V]!yl0^V#F-Fb[m7$$\"1F7m.^H$\\#F-$\"1u(Qj*[q18F-7$7$Fi]o$\"
11+++]P-:F-Faeu7$7$F\\fq$!10+++voSIF-7$$\"1?Q#RbnKA$F-Fi]m7$7$$\"1>Q#R
bnKA$F-Fi]m7$$\"1Ux)zURm+$F-$!1Tx)zURmS#F-7$7$$\"1HQa&[)p#y#F-Fe^mFefu
7$F[guF[cu7$Fgeu7$$\"1gp8[ajLFF-$\"1TI'=bkj'=F-7$7$$\"1FQa&[)p#y#F-F`_
mF`gu7$Ffgu7$$\"1F\"\\gkB>+$F-$\"1u3&RNw!)R#F-7$7$$\"1<Q#RbnKA$F-F]]lF
jgu7$7$$\"1=Q#RbnKA$F-F]]l7$$\"1Hm0MZ4)H$F-$\"1tL%fE0>!HF-7$7$F\\fq$\"
10+++voSIF-Fghu7$7$Fdhq$!10++++NZVF-7$$\"1nG7f#)f*p$F-F`[l7$Fdiu7$F\\f
q$!1/+++voSIF-7$F]iu7$$\"1IVAL[4&f$F-$\"1rcxm^!\\S$F-7$7$$\"1lG7f#)f*p
$F-Fg]lF\\ju7$Fbju7$$\"1Nx*)H2G+RF-$\"1mA5q#>(**QF-7$7$Fdhq$\"10++++NZ
VF-Ffju7$7$Fdiq$!1hG9dGR)e&F-7$$\"1n_hm)30s%F-Fhy7$Fc[v7$$\"1FZXUPiqUF
-$!1EZXUPiqWF-7$7$$\"1v=\"=XiqA%F-FdzFg[v7$F]\\vFaiu7$7$Fdhq$\"11++++N
ZVF-7$$\"1#\\bTsuy@%F-$\"15X%eFD@Q%F-7$7$$\"1t=\"=XiqA%F-Fa^lFe\\v7$F[
]v7$$\"1>$*=*4O>_%F-$\"1$o53!R1y[F-7$7$$\"1l_hm)30s%F-F[_lF_]v7$Fe]v7$
$\"1S1#4Cou$[F-$\"1i$z!f<`i`F-7$7$Fdiq$\"1iG9dGR)e&F-Fi]v-Fdp6&FfpFbpF
foFfo-%+AXESLABELSG6$%\"xG%\"yG" 2 247 247 247 2 0 1 0 2 9 0 4 2 
1.000000 45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 
0 0 0 0 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 106 "C'est long
 et laborieux! Par defaut, Maple dessine 8 contours. Si on en veut plu
s, il suffit de le dire : " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
56 "contourplot(y^2-x^3-x^2,x=-1.5..0.5,y=-1..1,contours=9);" }}{PARA 
13 "" 1 "" {INLPLOT "6+-%'CURVESG6*7$7$$!1bTzys9?9!#:$!\"\"\"\"!7$$!1N
lFk*G.U\"F*$!1XYBd.r'***!#;7$7$$!1<1/<4Lk9F*$!1-++++++#*F3F.7$F57$$!1+
++++++:F*$!1XXXXXX&\\)F37$7$F<$\"1VXXXXX&\\)F37$$!10;*)3'>jZ\"F*$\"1[g
\"*)3'>j*)F37$7$F6$\"1(************>*F3FD7$FJ7$$!1wY7)He&[9F*$\"1dnC\"
)He&[*F37$7$F($\"\"\"F-FN-%'COLOURG6&%$RGBGFV#\"\"(\"\"*F--F$6:7$7$$!1
++++++?9F*$!1POOOOO)\\)F37$$!1itAk)z\\U\"F*$!1,++++++%)F37$F`o7$$!1_sy
xhAH9F*$!1![F@AQxI)F37$7$$!1!3mFc*zh9F*$!1,++++++wF3Ffo7$F\\p7$$!1A6>(
Hd8\\\"F*$!1&y)3GqU')oF37$7$$!1E4X\"HP\\\\\"F*$!1-++++++oF3Fbp7$Fhp7$F
<$!1-++++]imF37$7$F<$\"1**********\\imF37$$!1'=zCs*H'\\\"F*$\"1e=zCs*H
w'F37$7$Fip$\"1(************z'F3Feq7$7$Fip$\"1)************z'F37$$!1q1
Zl$))HZ\"F*$\"1&p1Zl$))HtF37$7$F]p$\"1)************f(F3Fbr7$Fhr7$$!1+&
\\)4]i[9F*$\"1'*\\\\)4]i)yF37$7$Fao$\"1(************R)F3F\\s7$Fbs7$$!1
m@:)31LU\"F*$\"1c;_\")31L%)F37$7$F\\o$\"1ROOOOO)\\)F3Ffs7$7$$!1++++++S
8F*$!1/+++++)y*F37$$!16\"4@m2#y8F*$!1*************>*F37$7$Fft$!1++++++
+#*F3F[o7$F\\t7$$!1G%>IV3QR\"F*$\"1\"G%>IV3Q*)F37$7$FftFKF_u7$Feu7$$!1
SK'R5fJO\"F*$\"1%RK'R5fJ%*F37$7$Fat$\"11+++++)y*F3Fgu7$7$$!1&)ou:8`B8F
*F+F`t7$7$Fat$\"1/+++++)y*F37$$!1K?I'RJ2L\"F*$\"18.-jRJ2**F37$7$FbvFUF
hv-FX6&FZFV#\"\"#\"\"$F--F$6H7$7$F\\o$!1-++++]mmF37$$!1cg2H.aW9F*$!1-+
+++++gF37$Fjw7$$!1W?czV?c9F*$!1k&zV?czj&F37$7$$!1eJ0=TJq9F*$!1-++++++_
F3F`x7$Ffx7$$!1[o7A)3&*[\"F*$!1B:ty<\"\\]%F37$7$$!1*Qwr$fS#\\\"F*$!1-+
+++++WF3F\\y7$Fby7$F<$!1.+++++qSF37$7$F<$\"1************pSF37$$!1(G2Je
EQ\\\"F*$\"1kG2JeEQVF37$7$Fcy$\"1*************R%F3F_z7$Fez7$$!1?5f&*yt
w9F*$\"1(>5f&*yt'\\F37$7$Fgx$\"1*************>&F3Fiz7$F_[l7$$!1(f=$HT0
e9F*$\"1qf=$HT0e&F37$7$F[x$\"1**************fF3Fc[l7$Fi[l7$$!1$)*4VDOz
V\"F*$\"1A)*4VDOzhF37$7$F\\o$\"1**********\\mmF3F]\\l7$7$Fat$!11++++g]
#)F37$$!1hW:d%H_P\"F*$!1+++++++wF37$7$F[]lF_p7$$!1o#yGI>(39F*$!1Dt@rp!
G\"pF37$7$$!1z)pu'o@99F*F[qFa]l7$Fg]l7$F\\o$!1,++++]mmF37$Fc\\l7$$!1+t
ci['fT\"F*$\"1%*HnD'['fnF37$7$Fh]lF`rF_^l7$Fe^l7$$!1(y6:(*)*)*Q\"F*$\"
1ny6:(*)*)H(F37$7$F[]lFirFg^l7$F]_l7$$!1/[!>8aGO\"F*$\"1P![!>8aGyF37$7
$Fat$\"1.++++g]#)F3F__l7$7$$!1++++++g7F*$!10+++++s$*F37$$!1MuL&QhLF\"F
*F\\u7$F^`l7$$!1x]V%43kI\"F*$!1G#\\c0>ft)F37$7$$!1S\\7K&G.L\"F*FcoFb`l
7$Fh`lFg\\l7$Fe_l7$$!1.:I*3HTL\"F*$\"1I],$*3HT$)F37$7$Fi`lFcsF]al7$7$F
i`l$\"1'************R)F37$$!1s!zlgx5I\"F*$\"1<2zlgx5))F37$7$F_`lFKFhal
7$F^bl7$$!14ua5)>vE\"F*$\"1'3ua5)>v#*F37$7$Fj_l$\"1/+++++s$*F3F`bl7$7$
$!1Fy-x\"40?\"F*F+7$Fj_l$!11+++++s$*F37$7$Fj_l$\"1.+++++s$*F37$$!1HSv!
o\\%H7F*$\"1(GSv!o\\%p*F37$7$$!1Gy-x\"40?\"F*FUFdcl-FX6&FZFV#\"\"&FgnF
--F$6]o7$7$F\\o$!1-++++SwSF37$$!1.*R_1j4V\"F*$!1-++++++OF37$Fgdl7$$!1(
)3\"3vOMV\"F*$!1J6*=\\KcY$F37$7$$!1!RbY%4pX9F*$!1-++++++GF3F]el7$Fcel7
$$!1KzQMk!)\\9F*$!1\"o?hlN>]#F37$7$$!11q@aotc9F*$!1-++++++?F3Fiel7$F_f
l7$$!1P#3]Gh/Y\"F*$!1Iw\"*\\rQ&f\"F37$7$$!1]Z#Rz+TY\"F*$!1-++++++7F3Fe
fl7$F[gl7$$!1EwZS%GiY\"F*$!1)QPA&f:xt!#<7$7$$!1A'yPw#yn9F*$!1<++++++SF
fglFagl7$Fhgl7$Figl$\"109iyPw#y(!#=7$7$Figl$\"1$)************RFfglF^hl
7$Fchl7$$!1ol>V.ol9F*$\"1)yc'>V.o&)Ffgl7$7$F\\gl$\"1)************>\"F3
Fghl7$F]il7$$!1S1B@NQg9F*$\"1%R1B@NQg\"F37$7$F`fl$\"1)*************>F3
Fail7$Fgil7$$!1A!p.&)zAX\"F*$\"1A-p.&)zABF37$7$Fdel$\"1*************z#
F3F[jl7$7$$!1\"RbY%4pX9F*Fbjl7$$!1g;7GmpT9F*$\"1'f;7Gmp,$F37$7$Fhdl$\"
1*************f$F3Fhjl7$F^[m7$$!13U6p@\"*G9F*$\"1\"3U6p@\"*o$F37$7$F\\
o$\"1**********RwSF3Fb[m7$7$Fat$!1-++++]WjF37$$!1Z=G9N#\\N\"F*F]x7$F_
\\m7$$!1im7PJ.k8F*$!1zLtG'o'fdF37$7$$!1$GQc0Z_Q\"F*FixFc\\m7$Fi\\m7$$!
1j/(yDAqS\"F*$!1r`H@uxHXF37$7$$!1H_^i'Q7T\"F*FeyF]]m7$Fc]mFddl7$Fh[m7$
$!1'[u%e`589F*$\"1f[u%e`5L%F37$7$Fd]mFfzFh]m7$F^^m7$$!1psy&GpPR\"F*$\"
1)osy&GpP\\F37$7$Fj\\mF`[lF`^m7$Ff^m7$$!1-WoW/\"GP\"F*$\"1<S%oW/\"GbF3
7$7$F`\\mFj[lFh^m7$F^_m7$$!1n(y.x7/N\"F*$\"1kwy.x7/hF37$7$Fat$\"1/++++
]WjF3F`_m7$7$Fj_l$!1/++++S^xF37$$!19KmQ4!)p7F*F_p7$F]`m7$$!1>dvp>[$G\"
F*$!13GW-.=ltF37$7$$!1Z%)RA/T;8F*F[qFa`m7$Fg`mF\\\\m7$Ff_m7$$!1^q`(*)e
WK\"F*$\"140Pv*)eWmF37$7$Fh`mF`rF\\am7$Fbam7$$!1)Q_jsVcH\"F*$\"1yQ_jsV
crF37$7$$!1:KmQ4!)p7F*FirFdam7$Fjam7$$!1Q0)Q]\\fE\"F*$\"1$Q0)Q]\\fwF37
$7$Fj_l$\"1.++++S^xF3F^bm7$7$$!1++++++!=\"F*$!1mjjjjjJ()F37$$!1/yQ0\")
z37F*Fco7$F]cmFj_m7$7$Fj_l$\"1-++++S^xF37$$!1<-4YjQJ7F*$\"1t@!4YjQ6)F3
7$7$F^cmFcsFecm7$7$F^cmFfal7$$!1)pw<a8a>\"F*$\"1zpw<a8a&)F37$7$Fibm$\"
1mjjjjjJ()F3F^dm7$7$$!1+++++++6F*$!1PLLLL$eW*F37$$!1*p>-hG\"H6F*F\\u7$
F]emFhbm7$Fddm7$$!1i9:?Zhb6F*$\"1:Y^,s9c*)F37$7$$!1+(>-hG\"H6F*FKFbem7
$7$F^emFK7$$!19A\"p#=L86F*$\"1M@7p#=LL*F37$7$Fidm$\"1PLLLL$eW*F3F]fm7$
Fhdm7$$!1/gU\")*)HH5F*$!1l*Rd=5q!**F37$7$$!1++++++?5F*$!1nmmmmmn**F3Fg
fm7$Fcfm7$$!1xAuB2Ym5F*$\"1tFUPsgk'*F37$7$F^gm$\"1rmmmmmn**F3Fcgm7$7$$
!107Y[EF85F*F+F]gm7$Figm7$$!17B^Pi\"y,\"F*$\"1@J7vB;y**F37$7$$!117Y[EF
85F*FUFahm-FX6&FZFV#\"\"%FgnF--F$6cs7$7$Fat$!16++++]^NF37$$!1(o1QCxiN
\"F*Ffel7$7$$!1)o1QCxiN\"F*Ffel7$$!1G5s(HM%f8F*$!1@(*yAql0EF37$7$$!1h^
CZIFp8F*FbflF[jm7$Fajm7$$!1[I;)HGGP\"F*$!1<&p$=qrr;F37$7$$!1UT?;p$zP\"
F*F^glFejm7$F[[n7$$!1#QOMx3,Q\"F*$!1A=OcE7*)zFfgl7$7$$!1MOo])oAQ\"F*F[
hlF_[n7$Fe[n7$Ff[n$\"1*RLOo])oAFahl7$7$Ff[nFdhlFi[n7$F]\\n7$$!11<c)f(4
!Q\"F*$\"1S0<c)f(4!)Ffgl7$7$F\\[nF^ilF_\\n7$7$$!1VT?;p$zP\"F*F^il7$$!1
)oLm()HUP\"F*$\"1voLm()HU:F37$7$FbjmFhilFj\\n7$F`]n7$$!1h<C_A=l8F*$\"1
2wTAD#=D#F37$7$FiimFbjlFb]n7$Fh]n7$$!1nEpD$zLN\"F*$\"1tm#pD$zLHF37$7$F
at$\"13++++]^NF3Fj]n7$7$Fj_l$!1L9dG9d!o&F37$$!11uc')px\"G\"F*Fix7$Fg^n
7$$!1]%>NI2cH\"F*$!1/b!['p#R%[F37$7$$!1GUsv*\\GJ\"F*FeyF[_n7$Fa_n7$$!1
aXV'4V\"Q8F*$!1hWlN!p&=OF37$7$$!17\\NLTuQ8F*FjdlFe_n7$7$F\\`n$!1.+++++
+OF3Faim7$F`^n7$$!1ELZUC+R8F*$\"1dKtCW-!f$F37$7$F\\`nF_[mFc`n7$Fi`n7$$
!1Qw2N*)[>8F*$\"1zjx]$*)[>%F37$7$Fb_n$\"1)************R%F3F[an7$7$Fb_n
Ffz7$$!1_daU]1)H\"F*$\"18vXD/l!y%F37$7$Fh^n$\"1+++++++_F3Ffan7$7$Fh^nF
`[l7$$!15ziyg)\\F\"F*$\"1(4ziyg)\\`F37$7$Fj_l$\"1M9dG9d!o&F3Fabn7$7$Fi
bm$!1[WWWWWmpF37$$!1mNzPb#=>\"F*F[q7$F^cn7$$!1d0))oU477F*$!1FW>6t0zkF3
7$7$$!1$*>qH&[BC\"F*F]xFbcn7$FhcnFd^n7$Fgbn7$$!1zA@!*4j[7F*$\"1$zA@!*4
j)eF37$7$$!1%*>qH&[BC\"F*Fj[lF]dn7$Fcdn7$$!1Z97)e9#=7F*$\"1nW@\")e9#Q'
F37$7$F_cnF\\rFgdn7$F]en7$$!19pC!e8p=\"F*$\"1O\"pC!e8poF37$7$Fibm$\"1[
WWWWWmpF3F_en7$7$Fidm$!1.+++++SyF37$$!1G@Q_ypB6F*F_p7$F\\fnF[cn7$Feen7
$$!1/,r<&*=]6F*$\"1L55x^*=I(F37$7$F]fnFirFafn7$Fgfn7$$!1(=)f%)R#>6\"F*
$\"1m=)f%)R#>xF37$7$Fidm$\"1/+++++SyF3Fifn7$7$F^gm$!1@=====g%)F37$$!1>
_'=Od%G5F*Fco7$FfgnFien7$7$Fidm$\"1.+++++SyF37$$!1'pSe&yeo5F*$\"1dpSe&
ye3)F37$7$$!1?_'=Od%G5F*FcsF^hn7$Fdhn7$$!1HcJLh^B5F*$\"1)GcJLh^V)F37$7
$F^gm$\"1@=====g%)F3Fhhn7$7$F^gm$!1?=====g%)F37$$!1V+(QI[t+\"F*$!1t&*H
hp^E&)F37$7$$!1&************R*F3$!1ljjjjjz))F3Fein7$F^in7$$!1\"H3#Hjl9
(*F3$\"1!H3#Hjl9()F37$7$$!1'************R*F3$\"1ljjjjjz))F3Fajn7$F[jn7
$$!1ihg!\\'*=l)F3$!1NQR4N5[\"*F37$7$$!1(************f)F3$!1vsssssm\"*F
3F][o7$Fgjn7$$!1@&e>^TU;*F3$\"1A&e>^TU'*)F37$7$Fd[o$\"1tsssssm\"*F3Fi[
o7$7$$!1(************z(F3$!1MLLLLLF$*F37$$!1*\\!*pa1aW)F3F\\u7$7$Fi\\o
F8Fc[o7$F_\\o7$$!1`y$3;?Ed)F3$\"1`y$3;?E<*F37$7$$!150*pa1aW)F3FKF^]o7$
Fd]o7$$!1u]sR6N1zF3$\"1u]sR6N1$*F37$7$Fd\\o$\"1MLLLLLF$*F3Fh]o7$Fc\\o7
$$!1@f+mFugwF3$!1wS*RBd#R$*F37$7$$!1(*************pF3$!1LLLLL$eR*F3Fb^
o7$F^^o7$$!1Pv_TwQ!=(F3$\"1Qv_TwQ!Q*F37$7$Fi^o$\"1LLLLL$eR*F3F^_o7$Fh^
o7$$!1e-1@FM0oF3$!1S(R*ysl%R*F37$7$$!1)************>'F3$!1++++++\"R*F3
Fh_o7$Fd_o7$$!1WCas4;#R'F3$\"1XCas4;#R*F37$7$F_`o$\"1++++++\"R*F3Fd`o7
$F^`o7$$!1q-$e3sF-'F3$!1G(pT\"zAx$*F37$7$$!1)************R&F3$!1NLLLL$
)G$*F3F^ao7$Fj`o7$$!11_[w#)oRbF3$\"10_[w#)oR$*F37$7$Feao$\"1MLLLL$)G$*
F3Fjao7$7$Feao$!1MLLLL$)G$*F37$$!1*)*og5DfG&F3$!145$R*[29$*F37$7$$!1)*
***********f%F3$!1LLLLLLD#*F3Fgbo7$7$Feao$\"1LLLLL$)G$*F37$$!1,RIqy4HY
F3$\"1,RIqy4H#*F37$7$F^co$\"1LLLLLLD#*F3Ffco7$F]co7$$!1(e)=80=yXF3$!17
9\"o[>=A*F37$7$$!1qk+:3pUWF3F\\uF`do7$Ffdo7$$!1UNz:r.'*QF3$!1ck?%)G'R5
*F37$7$$!1)************z$F3$!1444444(3*F3Fjdo7$7$Faeo$\"1444444(3*F37$
$!1`k+:3pUWF3FK7$FieoF\\do7$F`eo7$$!1F?\"*R(R=A$F3$!1rz3g-;y*)F37$7$$!
1)*************HF3$!1POOOOOO*)F3F^fo7$Ffeo7$$!1jm^0$z3m$F3$\"1jm^0$z31
*F37$7$Fefo$\"1POOOOOO*)F3Fjfo7$Fdfo7$$!1;Ey^<>XDF3$!1$Q<#[#3[&))F37$7
$$!1)************>#F3$!1!44444Hz)F3Fdgo7$7$Fefo$\"1OOOOOOO*)F37$$!1I9W
Y$f(yEF3$\"1H9WY$f(y))F37$7$F[ho$\"1!44444Hz)F3Fcho7$Fjgo7$$!1NF*Qhmy&
=F3$!1js5'QL@u)F37$7$$!1(************R\"F3$!1>=====u')F3F]io7$7$F[ho$
\"1\"44444Hz)F37$$!18r0QU'>s\"F3$\"17r0QU'>s)F37$7$Fdio$\"1>=====u')F3
F\\jo7$Fcio7$$!1\\zFg9w\\6F3$!1\\?sR&Q-l)F37$7$$!1t************fFfgl$!
1kjjjjj(f)F3Ffjo7$7$Fdio$\"1======u')F37$$!1y)>rtta=)Ffgl$\"1))>rtta='
)F37$7$$!1s************fFfgl$\"1jjjjjj(f)F3Fe[p7$7$F][p$!1jjjjjj(f)F37
$$!1,1aZ[akSFfgl$!1PfC:ba$f)F37$7$$\"1F++++++?Ffgl$!1tsssss!e)F3Fd\\p7
$F[\\p7$$\"1jUSPF.P:Fahl$\"1ffis'HYe)F37$7$F[]p$\"1ssssss!e)F3F`]p7$Fj
\\p7$$\"1Q'yH_)GaRFfgl$!1iyH_)Gaf)F37$7$$\"1.++++++5F3$!1\"444444k)F3F
j]p7$Ff]p7$$\"1AV=)))e%fxFfgl$\"1n:=6T0C')F37$7$Fa^p$\"1!444444k)F3Ff^
p7$F`^p7$$\"1r5H$ov')H\"F3$!1o5H$ov')p)F37$7$$\"1.++++++=F3$!1kjjjjj&z
)F3F`_p7$7$Fa^p$\"1\"444444k)F37$$\"1Ny'Q>#[o9F3$\"1l@81y^J()F37$7$Fg_
p$\"1kjjjjj&z)F3F_`p7$7$Fg_p$!1ljjjjj&z)F37$$\"1f`8\"*>_$R#F3$!1d`8\"*
>_$**)F37$7$$\"1.++++++EF3$!1POOOOOi!*F3F\\ap7$Fe`p7$$\"1qn%o\\bK5#F3$
\"1HK:.Xu'*))F37$7$Fcap$\"1POOOOOi!*F3Fhap7$7$$\"1.++++++MF3$!1-+++++P
%*F37$$\"17(pRlDz(GF3Fht7$7$FhbpF\\uFbap7$F^bp7$$\"1#H'fj/0#p#F3$\"14P
SO&\\z5*F37$7$$\"11(pRlDz(GF3FKF]cp7$Fccp7$$\"16*)R/n*pB$F3$\"1*3,cH.I
O*F37$7$Fcbp$\"1-+++++P%*F3Fgcp7$Fbbp7$$\"1^6h%Gou-%F3$!1[6h%Gou#)*F37
$7$$\"1.++++++UF3$!1OLLLL$[$**F3Fadp7$F]dp7$$\"1.)e$Q*Rqu$F3$\"1)>T;1g
Hl*F37$7$Fhdp$\"1QLLLL$[$**F3F]ep7$7$$\"1'Qy]k!R!G%F3F+7$Fhdp$!1NLLLL$
[$**F37$7$Fhdp$\"1RLLLL$[$**F37$$\"1(f@`D\"*fB%F3$\"11%yYu3S'**F37$7$$
\"1#Qy]k!R!G%F3FUFafp-FX6&FZFV#FVFcwF--F$6^s7$7$Fj_l$!18+++++Q@F37$$!1
wZJX+oi7F*Fbfl7$Fcgp7$$!1fA:R'yIE\"F*$!17uZ3O@p>F37$7$$!1]qO3x.t7F*F^g
lFggp7$F]hp7$$!1O)\\!G,%RF\"F*$!1W;]>()fg5F37$7$$!1(=$*)Rl@y7F*F[hlFah
p7$Fghp7$Fhhp$!1E8o5gMy@Ffgl7$7$FhhpFdhlF[ip7$F_ip7$$!1N\"GJ)*3rF\"F*$
\"14N\"GJ)*3r&Ffgl7$7$F^hpF^ilFaip7$Fgip7$$!1n;.,Kar7F*$\"1lmJ5?V:8F37
$7$FdgpFhilFiip7$F_jp7$$!1]?`1UCi7F*$\"1/0Kl?WA?F37$7$Fj_l$\"16+++++Q@
F3Fajp7$7$Fibm$!10+++++eXF37$$!1Ok<=P[(=\"F*Fey7$F^[q7$$!17?\\tQO#>\"F
*$!1#))z]EhjF%F37$7$$!1.#>\")eg!>7F*FjdlFb[q7$Fh[q7$$!1P^d=o3P7F*$!1I'
[U\"=8HIF37$7$$!1;M2%3AVC\"F*FfelF\\\\q7$Fb\\qF`gp7$Fgjp7$$!1jk]ySKZ7F
*$\"1EY1&ySKn#F37$7$$!1<M2%3AVC\"F*FbjlFg\\q7$F]]q7$$!19Asbb))G7F*$\"1
S@Adb&))G$F37$7$Fi[qF_[mFa]q7$Fg]q7$$!1597Ei+37F*$\"1%497Ei+)QF37$7$F_
[qFfzFi]q7$F_^q7$$!1anrW$y]=\"F*$\"1Qv;ZMy]WF37$7$Fibm$\"1/+++++eXF3Fa
^q7$7$Fidm$!1hG9dG92eF37$$!1&oEp%\\'>9\"F*Fix7$F^_qF[[q7$Fg^q7$$!1Tk&4
L:h:\"F*$\"15Wc4L:h\\F37$7$F__qF`[lFc_q7$Fi_q7$$!1Q;y&*Q\"[7\"F*$\"1zj
\"y&*Q\"[aF37$7$Fidm$\"1hG9dG92eF3F[`q7$7$F^gm$!1/+++++9mF37$$!1!3@S6`
F3\"F*F]x7$Fh`qF[_q7$Fa`q7$$!1$)G!fH&*34\"F*$\"1L)G!fH&*3fF37$7$Fi`qFj
[lF]aq7$Fcaq7$$!1w;p\"fM50\"F*$\"1gn\"p\"fM5jF37$7$F^gm$\"1/+++++9mF3F
eaq7$7$F\\jn$!1MLLLLLZrF37$$!1N-y+E+U**F3F[q7$FbbqFe`q7$F[bq7$$!1[S`P>
>45F*$\"1x/Mv$>>p'F37$7$$!1S-y+E+U**F3F`rFgbq7$F]cq7$$!1$ztj0\"o6'*F3$
\"1%ztj0\"o6qF37$7$Fhjn$\"1OLLLLLZrF3Facq7$F_bq7$$!1ln#zQ'H\"y)F3$!1KK
27Oq=uF37$7$Fd[o$!1BAAAAA)\\(F3F[dq7$7$$!1(************R*F3$\"1PLLLLLZ
rF37$$!1\"\\J6mW`3*F3$\"1$\\J6mW`G(F37$7$Fd[o$\"1BAAAAA)\\(F3Fjdq7$7$$
!1)************z(F3$!1,++++!yp(F37$$!10E*4)R48#)F3F_p7$Fieq7$$!1)*****
*******f)F3$!1CAAAAA)\\(F37$F`eq7$$!1#)[S(R>%>&)F3$\"1$)[S(R>%>vF37$7$
$!1:E*4)R48#)F3FirFcfq7$7$$!1;E*4)R48#)F3Fir7$$!1O)H#H#y!zyF3$\"1N)H#H
#y!zwF37$7$Fd\\o$\"1,++++!yp(F3F`gq7$7$Fd\\oFgeq7$$!1U\"H'y-+\"p(F3$!1
d3P@(***3xF37$7$Fi^o$!1************zxF3F[hq7$Ffgq7$$!1/T!HHGK;(F3$\"1/
T!HHGKw(F37$7$Fi^o$\"1++++++!y(F3Fehq7$Fahq7$$!1M.&og&H@oF3$!1l'\\JR/(
yxF37$7$F_`o$!1+++++?uxF3F_iq7$F[iq7$$!12hDt@ZvjF3$\"12hDt@ZvxF37$7$F_
`o$\"1+++++?uxF3Fiiq7$Feiq7$$!1GDy'ee1/'F3$!1ru@89MfxF37$7$Feao$!1++++
+g*p(F3Fcjq7$F_jq7$$!1<nKXG%)4bF3$\"1;nKXG%)4xF37$7$Feao$\"1+++++g*p(F
3F][r7$Fijq7$$!1iV/&*[y8`F3$!1Qc&\\5:io(F37$7$$!1.-G1TXeZF3F_pFg[r7$F]
\\r7$$!17<P6?JBYF3$!1(GG'))zowvF37$7$F^co$!1lmmmmmsvF3Fa\\r7$7$F^co$\"
1mmmmmmsvF37$$!1!=!G1TXeZF3Fir7$F^]rFc[r7$Fg\\r7$$!1*eSD$\\\"R'RF3$!14
%fu1&3OuF37$7$Faeo$!1)))))))))))3S(F3Fc]r7$F[]r7$$!1G)pQy#>lXF3$\"1E)p
Qy#>lvF37$7$Faeo$\"1*))))))))))3S(F3F]^r7$Fi]r7$$!1Xk0]Fe6LF3$!1bN%*\\
sT)G(F37$7$Fefo$!1mmmmmm;sF3Fg^r7$Fc^r7$$!1^w!G#3KTNF3$\"1^w!G#3KTtF37
$7$Fefo$\"1nmmmmm;sF3Fa_r7$7$Fefo$!1nmmmmm;sF37$$!1k<M+lBeEF3$!1O#e'*
\\j<9(F37$7$F[ho$!1LLLLLLTqF3F^`r7$Fg_r7$$!1hD![]r!4DF3$\"1hD![]r!4rF3
7$7$F[ho$\"1LLLLLLTqF3Fh`r7$Fd`r7$$!1JRwn1s&*>F3$!1qgBK$zU+(F37$7$Fdio
$!1AAAAAA'*oF3Fbar7$F^ar7$$!17mLkKa<:F3$\"19mLkKa<pF37$7$Fdio$\"1@AAAA
A'*oF3F\\br7$7$Fdio$!1@AAAAA'*oF37$$!1WLbvA&QJ\"F3$!1bmWCx9')oF37$7$F]
[p$!1nmmmmm-oF3Fibr7$Fbbr7$$!1\")o_v\")>IgFfgl$\"1*o_v\")>I!oF37$7$F][
p$\"1mmmmmm-oF3Fccr7$F_cr7$$!1(4'3u[+ufFfgl$!1*Q\"f7&*f-oF37$7$$!1XW[N
>un\\FfglF[qF]dr7$7$Fddr$!1+++++++oF37$$\"1wjG\\*=K!=Ffgl$!1P'G\\*=K!y
'F37$7$F[]p$!1+++++vznF3Fjdr7$7$F[]p$\"1+++++vznF37$$!1iL[N>un\\FfglF`
r7$FgerFicr7$7$Fa^p$!1dbbbbbboF37$$\"17E\\FRqdRFfglF[q7$7$$\"16E\\FRqd
RFfglF[q7$F[]p$!1,++++vznF37$7$F[]p$\"1,++++vznF37$$\"1$GirT<N=#Ffgl$
\"1tPGe#[;y'F37$7$$\"1aA\\FRqdRFfglF`rF]gr7$Fcgr7$$\"1OYA2OA\"\\*Ffgl$
\"1PvFRw(3&oF37$7$Fa^p$\"1cbbbbbboF3Fggr7$F\\fr7$$\"1%fG'GPvs5F3$!1#fG
'GPvsoF37$7$Fg_p$!1ommmmmWqF3Fahr7$F]hr7$$\"1r'p\\)=6-;F3$\"1J..:\"))y
*pF37$7$Fg_p$\"1ommmmmWqF3F[ir7$7$Fg_p$!1nmmmmmWqF37$$\"1$G+=_RH@#F3$!
1\"G+=_RH@(F37$7$Fcap$!1ommmmmqtF3Fhir7$Fair7$$\"1u[$**)Hb%>#F3$\"1F^1
5qW0sF37$7$Fcap$\"1ommmmmqtF3Fbjr7$7$Fcbp$!1,++++SHyF37$$\"1%z1))R*))y
HF3F_p7$F_[sF^jr7$Fhjr7$$\"1Ti'o3iGu#F3$\"1gP88z8duF37$7$$\"1*y1))R*))
yHF3FirFd[s7$Fj[s7$$\"1C!))f+(\\^KF3$\"1x>,%*H][xF37$7$Fcbp$\"1-++++SH
yF3F^\\s7$7$Fhdp$!1ROOOOOC%)F37$$\"1T$4$[66kTF3Fco7$F[]s7$Fcbp$!1-++++
SHyF37$Fd\\s7$$\"1:y?/QmEPF3$\"1'=#z&>OL2)F37$7$$\"1O$4$[66kTF3FfalFc]
s7$7$Fj]sFcs7$$\"10P\\>!)[&=%F3$\"1&H10)>^9%)F37$7$Fhdp$\"1ROOOOOC%)F3
F^^s7$Fh\\s7$$\"1:\"Gt.41T%F3$!17\"Gt.41h)F37$7$$\"1.++++++]F3$!1%====
==8*F3Fh^s7$Fd^s7$$\"1.F\\lqi6YF3$\"1(H2X$HP)y)F37$7$F__s$\"1&======8*
F3Fd_s-FX6&FZFV#FbwFgnF--F$6`r7$7$Fidm$!1VLLLLLLCF37$$!1')pqOj$G6\"F*F
bfl7$Ff`s7$$!1/uVy]*f6\"F*$!1gfi:#\\+%=F37$7$$!1Q<'\\!\\jG6F*F^glFj`s7
$F`as7$$!1d\"Gs6s<8\"F*$!1CV=x#)yA))Ffgl7$7$$!19\"*3*=Ml8\"F*F[hlFdas7
$Fjas7$F[bs$!1Ph)3\"4\"eY$Fahl7$7$F[bsFdhlF^bs7$Fbbs7$$!14;%[&4DL6F*$
\"1p3;%[&4DtFfgl7$7$FaasF^ilFdbs7$Fjbs7$$!1n6M&f7R7\"F*$\"1o;T`f7R9F37
$7$Fg`sFhilF\\cs7$Fbcs7$$!1NFkvG!*46F*$\"1ZtUc(G!*4#F37$7$Fidm$\"1SLLL
LLLCF3Fdcs7$7$F^gm$!11++++S#*RF37$$!1l$*Gua1X5F*Fjdl7$Fads7$$!1$zxRhg7
2\"F*$!1u?AgQR(3$F37$7$$!1a\\z\")p%f3\"F*FfelFeds7$F[esFc`s7$Fjcs7$$!1
K\\W$oS)*3\"F*$\"1?$\\W$oS)p#F37$7$F\\esFbjlF`es7$Ffes7$$!1YP))\\Skj5F
*$\"1cu$))\\SkB$F37$7$FbdsF_[mFhes7$F^fs7$$!1w53k_HN5F*$\"1g2\"3k_Hv$F
37$7$F^gm$\"11++++S#*RF3F`fs7$7$Ffdq$!1PLLLLLH[F37$$!1FV')e1kY)*F3Fey7
$7$F^gs$!1.++++++WF3F^ds7$Fffs7$$!1yPRsE2,5F*$\"1yx$RsE2@%F37$7$$!1IV'
)e1kY)*F3FfzFegs7$F[hs7$$!1!yZ$4!3*='*F3$\"1\"yZ$4!3*=YF37$7$F\\jn$\"1
PLLLLLH[F3F_hs7$7$Fd[o$!1s&G9dGML&F37$$!17^[YagO))F3Fix7$F\\isFjfs7$Fe
hs7$$!1w\"[xBEk<*F3$\"1z\"[xBEk(\\F37$7$$!1<^[YagO))F3F`[lFais7$7$$!1=
^[YagO))F3F`[l7$$!1@iD#G;`o)F3$\"1CiD#G;`G&F37$7$Fd[o$\"1t&G9dGML&F3F^
js7$Fihs7$$!1cwx.5Q)R)F3$!1VBA'**=;S&F37$7$Fd\\o$!1++++++/cF3Fhjs7$Fdj
s7$$!1-F@\\[*=5)F3$\"1/F@\\[*=]&F37$7$Feeq$\"1++++++/cF3Fb[t7$F^[t7$$!
1_f-Uk\\EtF3$!1[S(zb.Nn&F37$7$Fi^o$!1s&G9dG9s&F3F\\\\t7$7$Fd\\oFi[t7$$
!1m9R8qoauF3$\"1m9R8qoacF37$7$Fi^o$\"1s&G9dG9s&F3Fg\\t7$7$Fi^o$!1r&G9d
G9s&F37$$!1=iHyl\"R['F3$!1$y.<U$3;dF37$7$F_`o$!1dG9dG98dF3Fd]t7$F]]t7$
$!1?+9sJ^=nF3$\"1A+9sJ^=dF37$7$F_`o$\"1dG9dG98dF3F^^t7$Fj]t7$$!13%fbKz
ru&F3$!1#fSWn?Gl&F37$7$Feao$!1F9dG9d1cF3Fh^t7$Fd^t7$$!1p+H[k0peF3$\"1r
+H[k0pcF37$7$Feao$\"1F9dG9d1cF3Fb_t7$F^_t7$$!14ic.=Bn]F3$!1#zLk>oF`&F3
7$7$$!1*************f%F3$!1dG9dG9HaF3F\\`t7$Fh_t7$$!1fR.%*pW%*[F3$\"1g
R.%*pW%\\&F37$7$Fc`t$\"1dG9dG9HaF3Fh`t7$7$F^coFe`t7$$!1WaN55V?WF3$!1cX
k*)*o&z`F37$7$Faeo$!19dG9dG3_F3Fcat7$7$F^co$\"1cG9dG9HaF37$$!15)Rf[X9
\"QF3$\"17)Rf[X9@&F37$7$Faeo$\"18dG9dG3_F3F`bt7$Fiat7$$!1F\\Gaqg$z$F3$
!1t]rXHR1_F37$7$$!1>9FvW,sPF3FixFjbt7$F`ct7$$!1C&f#yP?)>$F3$!1y/u@iz,]
F37$7$Fefo$!1KLLLLLL\\F3Fdct7$7$Fefo$\"1KLLLLLL\\F37$$!159FvW,sPF3F`[l
7$FadtFfbt7$Fjct7$$!1)*Q8d-i)f#F3$!1-h'Guz8![F37$7$F[ho$!1LLLLLLqYF3Ff
dt7$F^dt7$$!1`H%GAJFg#F3$\"1aH%GAJF![F37$7$F[ho$\"1KLLLLLqYF3F`et7$F\\
et7$$!1t'**pr([()>F3$!1F.+$G7Dh%F37$7$Fdio$!1lmmmmm_WF3Fjet7$7$F[ho$\"
1LLLLLLqYF37$$!1%zkWg_BZ\"F3$\"1&zkWg_BZ%F37$7$Fdio$\"1mmmmmm_WF3Fgft7
$7$Fdio$!1mmmmmm_WF37$$!1rG!R>$>b8F3$!1Gr41o![W%F37$7$$!1,)3.Zi(*4\"F3
FeyFdgt7$Fjgt7$$!1+6#4Pi!poFfgl$!1*)y!Hw$48VF37$7$F][p$!1+++++![H%F3F^
ht7$7$F\\\\p$\"1+++++![H%F37$$!1&y3.Zi(*4\"F3Ffz7$F[it7$Fdio$\"1lmmmmm
_WF37$Fdht7$$\"1[b3(pPFR'Fahl$!1b3(pPFRE%F37$7$F[]p$!1+++++gdUF3Fcit7$
7$F][pFiht7$$!1D9v\"Q'p'*[Ffgl$\"1W^<Q'p'*G%F37$7$F[]p$\"1+++++gdUF3F^
jt7$Fiit7$$\"1L)G^wn,))*Ffgl$!1$)G^wn,)Q%F37$7$Fa^p$!1,+++++!R%F3Fhjt7
$Fdjt7$$\"1RKz@Kz@KFfgl$\"1x1#yn?yF%F37$7$Fa^p$\"1,+++++!R%F3Fb[u7$7$F
g_p$!1NLLLLLvYF37$$\"1.Aji<]B5F3Fey7$F_\\uF^[u7$Fh[u7$$\"1?sU#3:q+\"F3
$\"1#ysv\"\\)HR%F37$7$$\"1%>KEw,N-\"F3FfzFd\\u7$7$F[]uFban7$$\"1q+yk%R
nf\"F3$\"1K*>_`gKg%F37$7$Fg_p$\"1MLLLLLvYF3F_]u7$F\\\\u7$$\"1V7[ZHD3DF
3$!1U7[ZHD3^F37$7$Fcap$!1MLLLLLk^F3Fi]u7$Fe]u7$$\"1u>6,riD@F3$\"1F!)))
)*GPu[F37$7$Fcap$\"1NLLLLLk^F3Fc^u7$7$Fcbp$!1.+++++#z&F37$$\"1()QEvSGR
EF3Fix7$7$$\"1')QEvSGREF3FixF_^u7$Fi^u7$$\"1l&**z.%p=EF3$\"1Q/+ifI\"=&
F37$7$$\"1#)QEvSGREF3F`[lFh_u7$F^`u7$$\"1`>KV<3nIF3$\"1\\!ymD=H`&F37$7
$$\"1-++++++MF3$\"1.+++++#z&F3Fb`u7$7$Fhdp$!1/++++vklF37$$\"1Ce.R#y\\f
$F3F]x7$FaauF]_u7$7$FcbpF[au7$$\"1J>4k$R1]$F3$\"1r!3fjg$**eF37$7$$\"1@
e.R#y\\f$F3Fj[lFgau7$F]bu7$$\"1`L)*oO!z!RF3$\"1[m,Jj4#H'F37$7$$\"1/+++
+++UF3$\"1/++++vklF3Fabu7$7$F__s$!1gbbbbbbuF37$$\"1*\\P^6sMR%F3F[q7$F`
cuF^au7$7$FhdpFjbu7$$\"1:L]TF;1VF3$\"1(o'\\es$Qp'F37$7$$\"1'\\P^6sMR%F
3F`rFfcu7$7$$\"1&\\P^6sMR%F3F\\r7$$\"1O*o'z_&\\o%F3$\"1k5L?Z/:rF37$7$F
__s$\"1gbbbbbbuF3Fcdu-FX6&FZFV#FVFgnF--F$6fo7$7$Fd[o$!1*3+++++%yFfgl7$
$!1<9WdnF(p)F3F[hl7$7$$!1=9WdnF(p)F3F[hl7$Fjeu$!14eeDCBFIFfgl7$7$$!1?9
WdnF(p)F3FdhlF\\fu7$F`fu7$$!1:!\\q&\\hx')F3$\"1o,\\q&\\hx%Ffgl7$7$Fd[o
$\"1Z,++++SyFfglFdfu7$7$$!1'************z(F3$!1.+++++R>F37$$!1r)3GA(GC
%)F3F^gl7$7$$!1p)3GA(GC%)F3F^glFbeu7$Fjfu7$$!1oBB@iYw%)F3$\"1qBB@iYw5F
37$7$$!1s)3GA(GC%)F3F^ilF[hu7$Fahu7$$!1]'H1q3%Q\")F3$\"1^'H1q3%Q:F37$7
$Fd\\o$\"1.+++++R>F3Fehu7$7$Fi^o$!1MLLLLLLAF37$$!1^E\"o?l7o(F3Fbfl7$Fb
iuF^gu7$F[iu7$$!1X1-DFqfxF3$\"1X1-DFqf>F37$7$$!1dE\"o?l7o(F3FhilFgiu7$
F]ju7$$!12i+!40Q<(F3$\"12i+!40Q<#F37$7$Fi^o$\"1MLLLLLLAF3Faju7$F_iu7$$
!1De'z\\s@x'F3$!1uT.-v#yA#F37$7$$!1(************>'F3$!1++++++9AF3F[[v7
$Fgju7$$!16(3Qu*H>kF3$\"16(3Qu*H>AF37$7$F_`o$\"1++++++9AF3Fg[v7$7$F_`o
Fd[v7$$!14(3J2Xn.'F3$!1\"H\"*o#\\Dj@F37$7$$!1_S8]\"G:^&F3FbflFb\\v7$Fh
\\v7$$!1h3j?YYNaF3$!1R\"p$z``k>F37$7$Feao$!1***********z%>F3F\\]v7$7$F
eao$\"1++++++[>F37$$!1US8]\"G:^&F3Fhil7$Fi]vF]\\v7$Fb]v7$$!1Cp'p5)))y
\\F3$!1vI.$*=6@;F37$7$F^co$!1***********pK\"F3F^^v7$Ff]v7$$!1KJOlxfn^F
3$\"1KJOlxfn<F37$7$F^co$\"1)**********pK\"F3Fh^v7$Fd^v7$$!1`4]W+TNXF3$
!1Z!*\\b**ek7F37$7$$!15DAOScoWF3F^glFb_v7$Fh_v7$$!1G\\95(z0C%F3$!1@2b)
*G?%f(Ffgl7$7$$!1[ew'\\#faSF3F[hlF\\`v7$Fb`v7$$!1Yew'\\#faSF3$!1G:MK]2
a9Ffgl7$7$Fg`vFdhlFf`v7$F\\av7$$!1m(=5%RhFVF3$\"1gw=5%RhF*Ffgl7$7$$!13
DAOScoWF3F^ilF^av7$Fdav7$$!1(************f%F3F__v7$7$Fcbp$!11+++++)R#F
37$$\"1b4[))o\"3=$F3Fbfl7$F_bv7$$\"1Um'R2iO0$F3$!1Tm'R2iOl\"F37$7$$\"1
GwAwT5()GF3F^glFcbv7$Fibv7$$\"1)yV***=yrFF3$!1syV***=yr&Ffgl7$7$$\"1k4
5?yCSFF3F[hlF]cv7$Fccv7$Fdcv$\"1t.**)z@vf#Ffgl7$7$FdcvFdhlFgcv7$F[dv7$
$\"1]QLTYdUGF3$\"1.:m'e`Ud*Ffgl7$7$$\"1FwAwT5()GF3F^ilF]dv7$Fcdv7$$\"1
4._]0%[-$F3$\"1#pz%\\%f^d\"F37$7$$\"1`4[))o\"3=$F3FhilFgdv7$F]ev7$$\"1
s5A2kleKF3$\"1I*yFfV89#F37$7$Fcbp$\"12+++++)R#F3Faev7$7$Fhdp$!11++++g8
RF37$$\"1+X)[VB+*RF3Fjdl7$F^fv7$$\"1XFP45!yu$F3$!1WFP45!y9$F37$7$$\"1p
zgK)*\\hNF3FfelFbfv7$FhfvF\\bv7$Fgev7$$\"1#\\mov8_^$F3$\"15N8Viy%o#F37
$7$$\"1nzgK)*\\hNF3FbjlF]gv7$Fcgv7$$\"1bHNji@%y$F3$\"1[qkOPy:KF37$7$$
\"1*\\%)[VB+*RF3F_[mFggv7$F]hv7$$\"1?^\"e+LU2%F3$\"1#)[=%*pwDPF37$7$Fh
dp$\"10++++g8RF3Fahv7$7$F__s$!1M9dG9dy_F37$$\"1Y/(\\EfM%\\F3Fix7$F^iv7
$$\"10@Y@![C&[F3$!1/@Y@![C0&F37$7$$\"1`q;]G,]WF3FbgsFbiv7$7$FiivFeyF[f
v7$Fghv7$$\"1\\k6aK8lVF3$\"1`N)eum[B%F37$7$$\"1_q;]G,]WF3FfzF^jv7$Fdjv
7$$\"1o]K0:$)fYF3$\"1N\\n%\\o,u%F37$7$$\"1W/(\\EfM%\\F3F`[lFhjv7$F^[w7
$$\"1gj&>,?r'\\F3$\"1VO/))*zGB&F37$7$F__s$\"1M9dG9dy_F3Fb[w-FX6&FZFVF-
F--%+AXESLABELSG6$%\"xG%\"yG" 2 247 247 247 2 0 1 0 2 9 0 4 2 
1.000000 45.000000 45.000000 10030 0 10056 10074 0 0 0 20030 0 12020 
0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 107 "Il existe aussi une procedure \"implicitplot\" qui tente
 de dessiner une courbe donnee sous forme implicite :" }}{PARA 0 "" 0 
"" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "implicit
plot(y^2 +x^4-x^2,x=-2..2,y=-2..2);" }}{PARA 13 "" 1 "" {INLPLOT "6$-%
'CURVESG6io7$7$$!1/++++++))!#;$!1ILLLL<`TF*7$$!1CW)\\Sq%*)))F*$!1/++++
++SF*7$F-7$$!1&*[C71`Y*)F*$!18^v(QpM&QF*7$7$$!1zf[kL_7&*F*$!1/++++++CF
*F37$F97$$!1LCA0pz%o*F*$!1uvx%4._^\"F*7$7$$!1cnBW)\\S#)*F*$!1N++++++!)
!#<F?7$FE7$FF$\"18vOU%)\\SAFJ7$7$FF$\"1l************zFJFL7$7$$!1dnBW)
\\S#)*F*FQ7$$!1Rn\\dx:d'*F*$\"1Mn\\dx:d;F*7$7$$!1\")f[kL_7&*F*$\"1(***
*********R#F*FW7$Fgn7$$!1Cw57^#GJ*F*$\"1>w57^#G\"HF*7$7$$!1EW)\\Sq%*))
)F*$\"1'*************RF*F]o7$7$$!1GW)\\Sq%*)))F*$\"1(*************RF*7
$$!1OXnU)zk&))F*$\"1HXnU)zk0%F*7$7$F($\"1HLLLL<`TF*F^p7$7$F($!1JLLLL<`
TF*7$$!1]LLLL$3])F*$!1fmmmm;*H%F*7$7$$!1/++++++sF*$!1LLLLL(R$\\F*F[q7$
Fdp7$$!1ig*3Dqw#yF*$\"1bg*3Dqwi%F*7$7$Fbq$\"1KLLLL(R$\\F*Fgq7$Faq7$$!1
Xv1\"*)\\pV'F*$!1jC$*3,0jZF*7$7$$!1/++++++cF*$!1OLLLLdvXF*Far7$7$Fbq$
\"1LLLLL(R$\\F*7$$!1G%eI@=<M'F*$\"1@%eI@=<u%F*7$7$Fhr$\"1NLLLLdvXF*F`s
7$Fgr7$$!1%zTU.@HA&F*$!19#ed'*yqP%F*7$7$$!1)foHh&e1XF*$!10++++++SF*Fjs
7$7$FatF07$$!1*pJVj8NA%F*$!15$ocO'[wPF*7$7$F0$!1.++++++OF*Fgt7$7$Fct$
\"1.++++++OF*7$$!1(eoHh&e1XF*Ffo7$7$FeuF\\pFfs7$F]u7$$!1QI$)[/vELF*$!1
qp;^&\\K2$F*7$7$$!1h;rowDmCF*F<Fju7$F`v7$$!1\\jh/UUSCF*$!1gOQ&zv&fBF*7
$7$F<$!1/++++K'H#F*Fdv7$7$F<$\"12++++K'H#F*7$$!1a;rowDmCF*Fjn7$FawFau7
$Fjv7$$!1Ll,Qu5F;F*$!1vM)>c#*Gd\"F*7$7$$!1\\_n8_n8!)FJFHFfw7$F\\x7$F]x
$!1A[K'yCj)zFJ7$7$$!17_n8_n8!)FJFQF`x7$FdxF^w7$7$Fjn$!1%********>jH#F*
7$$\"1;_n8_n8!)FJFH7$F\\y7$$\"1!=vO@vO,)FJ$\"1`ZK'yCj)zFJ7$7$FayFQF`y7
$Ffy7$$\"1El,Qu5F;F*$\"1oM)>c#*Gd\"F*7$7$Fjn$\"1)********>jH#F*Fhy7$7$
F\\p$!1(************f$F*7$$\"1g;rowDmCF*F<7$FezFix7$F^z7$$\"1Tjh/UUSCF
*$\"1`OQ&zv&fBF*7$7$$\"1`;rowDmCF*FjnFjz7$F`[l7$$\"1JI$)[/vELF*$\"1jp;
^&\\K2$F*7$7$F\\p$\"1)************f$F*Fd[l7$7$$\"1(************f&F*$!1
LLLLLdvXF*7$$\"1(foHh&e1XF*F07$7$Fd\\lFctFbz7$Fj[l7$$\"1!pJVj8NA%F*$\"
1.$ocO'[wPF*7$7$$\"1(eoHh&e1XF*F\\pFi\\l7$F_]l7$$\"1&yTU.@HA&F*$\"14#e
d'*yqP%F*7$7$F_\\l$\"1JLLLLdvXF*Fc]l7$F^\\l7$$\"17%eI@=<M'F*$!1=%eI@=<
u%F*7$7$$\"1)************>(F*$!1MLLLL(R$\\F*F]^l7$Fi]l7$$\"1Mv1\"*)\\p
V'F*$\"1hC$*3,0jZF*7$7$Fd^l$\"1MLLLL(R$\\F*Fi^l7$Fc^l7$$\"1`g*3Dqw#yF*
$!1gg*3Dqwi%F*7$7$$\"1(************z)F*$!1OLLLL<`TF*Fc_l7$F__l7$$\"1AL
LLL$3])F*$\"1tmmmm;*H%F*7$7$$\"1)************z)F*$\"1NLLLL<`TF*F_`l7$7
$Ff`lF\\`l7$$\"1KXnU)zk&))F*$!1PXnU)zk0%F*7$7$$\"1AW)\\Sq%*)))F*F0F\\a
l7$7$FcalFct7$$\"1@w57^#GJ*F*$!1Gw57^#G\"HF*7$7$$\"1\")f[kL_7&*F*F<Fga
l7$F]bl7$$\"1Un\\dx:d'*F*$!1Xn\\dx:d;F*7$7$$\"1inBW)\\S#)*F*FHFabl7$Fg
bl7$$\"1hnBW)\\S#)*F*$!1cwOU%)\\SAFJ7$7$F\\clFQF[cl7$7$FhblFQ7$$\"1RCA
0pz%o*F*$\"1dvx%4._^\"F*7$7$$\"1$)f[kL_7&*F*FjnFdcl7$Fjcl7$$\"1,\\C71`
Y*)F*$\"1%4bxQpM&QF*7$7$$\"1DW)\\Sq%*)))F*F\\pF^dl7$FddlFe`l-%'COLOURG
6&%$RGBG\"\"\"\"\"!F]el-%+AXESLABELSG6$%\"xG%\"yG" 2 431 431 431 2 0 
1 0 2 9 0 4 2 1.000000 45.000000 45.000000 10030 0 10056 10074 0 0 0 
20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 8 "Exercic
e" }}{PARA 0 "" 0 "" {TEXT -1 65 "Quelle la forme correcte de cette co
urbe au voisisnage de (0,0) ?" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}}}
{MARK "5 3 10 2 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }