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&GFJ7$$\"3Y*e)yn/O!***F[ao$\"3a)yF$=#z)y6FD-%'COLOURG6&%$RGBG$\"#5!\"
\"$\"\"!FdhdmFchdm-%+AXESLABELSG6$Q\"x6\"Q\"yFihdm-%%VIEWG6$;Fchdm$Fah
dmFdhdm;Fchdm$\"\"#Fdhdm" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 
45.000000 0 0 "Curve 1" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "
" 0 "" {TEXT -1 2 "2)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 53 "vitesse:=t->subs(s=t,diff(x(s),s)^2+diff(
y(s),s)^2); " }{TEXT -1 44 "la vitesse lin\351aire de la diode \340 l'
instant " }{XPPEDIT 18 0 "t;" "6#%\"tG" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%(vitesseGf*6#%\"tG6\"6$%)operatorG%&arrowGF(-%%subsG6$/%\"sG9$
,&*$)-%%diffG6$-%\"xG6#F0F0\"\"#\"\"\"F<*$)-F66$-%\"yGF:F0F;F<F<F(F(F(
" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 28 "UnInst:=solve(vitesse(t)=0);" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'UnInstG$!+2`=$G
'!#6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "expand(vitesse(t)-v
itesse(t+2*Pi/25)); " }{TEXT -1 15 "la vitesse est " }{XPPEDIT 18 0 "2
*Pi/25;" "6#*(\"\"#\"\"\"%#PiGF%\"#D!\"\"" }{TEXT -1 11 " p\351riodiqu
e" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 28 "On en d\351duit les valeurs de \+
" }{XPPEDIT 18 0 "t;" "6#%\"tG" }{TEXT -1 7 " entre " }{XPPEDIT 18 0 "
0;" "6#\"\"!" }{TEXT -1 4 " et " }{XPPEDIT 18 0 "10;" "6#\"#5" }{TEXT 
-1 88 " en lesquelles la vitesse lin\351aire est nulle et la positions
 de la diode \340 ces instants." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 " for k from 1 by 1 \n while \+
evalf(UnInst+2*k*Pi/25)<=10" }{TEXT -1 2 "  " }{MPLTEXT 1 0 96 "do\n I
nst[k]:=evalf(UnInst+2*k*Pi/25);\n Posit[k]:=[evalf(x(Inst[k])),evalf(
y(Inst[k]))];\n end do:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "print(In
st); " }{TEXT -1 80 "les instants entre 0 et 10 secondes o\371 la vite
sse lin\351aire de la diode est nulle" }}{PARA 12 "" 1 "" {XPPMATH 20 
"6#K%&TABLEG6#7J/\"\"\"$\"+#fb\\)=!#5/\"\"#$\"+:(H#)R%F+/\"\"$$\"+RQ]6
pF+/\"\"%$\"+fzxC%*F+/\"\"&$\"+4_!Q>\"!\"*/\"\"'$\"+@E8X9F</\"\"($\"+L
+Y'p\"F</\"\")$\"+YuyZ>F</\"\"*$\"+e[6*>#F</\"#5$\"+qAW]CF</\"#6$\"+$o
p<q#F</\"#7$\"+&4(4`HF</\"#8$\"+2XU/KF</\"#9$\"+>>vbMF</\"#:$\"+K$zqq$
F</\"#;$\"+WnSeRF</\"#<$\"+cTt4UF</\"#=$\"+p:1hWF</\"#>$\"+\")*)Q7ZF</
\"#?$\"+$R;P'\\F</\"#@$\"+1Q/:_F</\"#A$\"+=7PmaF</\"#B$\"+I')p<dF</\"#
C$\"+Vg-pfF</\"#D$\"+bMN?iF</\"#E$\"+n3orkF</\"#F$\"+!G3Is'F</\"#G$\"+
#pNV(pF</\"#H$\"+/JmDsF</\"#I$\"+<0*pZ(F</\"#J$\"+HzJGxF</\"#K$\"+T`kz
zF</\"#L$\"+aF(4B)F</\"#M$\"+m,I#[)F</\"#N$\"+yviL()F</\"#O$\"+\"*\\&
\\)*)F</\"#P$\"+.CGO#*F</\"#Q$\"+:)4w[*F</\"#R$\"+Fs$*Q(*F</\"#S$\"+PY
E!***F<Q)pprint156\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "pri
nt(Posit); " }{TEXT -1 49 "la position de la diode en chacun de ces in
stants" }{MPLTEXT 1 0 1 " " }}{PARA 12 "" 1 "" {XPPMATH 20 "6#K%&TABLE
G6#7J/\"\"\"7$$\"+#fb\\)=!\"*$\"\"!F./\"\"#7$$\"+9(H#)R%F,F-/\"\"$7$$
\"+PQ]6pF,F-/\"\"%7$$\"+gzxC%*F,F-/\"\"&7$$\"+4_!Q>\"!\")F-/\"\"'7$$\"
+@E8X9FCF-/\"\"(7$$\"+L+Y'p\"FCF-/\"\")7$$\"+XuyZ>FCF-/\"\"*7$$\"+e[6*
>#FCF-/\"#57$$\"+qAW]CFCF-/\"#67$$\"+#op<q#FCF-/\"#77$$\"+%4(4`HFCF-/
\"#87$$\"+1XU/KFCF-/\"#97$$\"+>>vbMFCF-/\"#:7$$\"+J$zqq$FCF-/\"#;7$$\"
+WnSeRFCF-/\"#<7$$\"+cTt4UFCF-/\"#=7$$\"+p:1hWFCF-/\"#>7$$\"+\")*)Q7ZF
CF-/\"#?7$$\"+%R;P'\\FCF-/\"#@7$$\"+.Q/:_FCF-/\"#A7$$\"+>7PmaFCF-/\"#B
7$$\"+G')p<dFCF-/\"#C7$$\"+Tg-pfFCF-/\"#D7$$\"+`MN?iFCF-/\"#E7$$\"+l3o
rkFCF-/\"#F7$$\"+z#3Is'FCF-/\"#G7$$\"+\"pNV(pFCF-/\"#H7$$\"+.JmDsFCF-/
\"#I7$$\"+<0*pZ(FCF-/\"#J7$$\"+HzJGxFCF-/\"#K7$$\"+T`kzzFCF-/\"#L7$$\"
+aF(4B)FCF-/\"#M7$$\"+j,I#[)FCF-/\"#N7$$\"+zviL()FCF-/\"#O7$$\"+))\\&
\\)*)FCF-/\"#P7$$\"+,CGO#*FCF-/\"#Q7$$\"+8)4w[*FCF-/\"#R7$$\"+Ds$*Q(*F
CF-/\"#S7$$\"+RYE!***FCF-Q)pprint166\"" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 53 "liste:=[minimize(vitesse(t),t=0..10,location=true)]; \+
" }{TEXT -1 24 "une autre fa\347on de faire" }{MPLTEXT 1 0 1 " " }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&listeG7$$\"\"!F'<J7$<#/%\"tG$\"+Es$
*Q(*!\"*F&7$<#/F,$\"+z#3Is'F/F&7$<#/F,$\"+o:1hWF/F&7$<#/F,$\"+#op<q#F/
F&7$<#/F,$\"+@E8X9F/F&7$<#/F,$\"+2XU/KF/F&7$<#/F,$\"+aMN?iF/F&7$<#/F,$
\"+WnSeRF/F&7$<#/F,$\"+QYE!***F/F&7$<#/F,$\"+m3orkF/F&7$<#/F,$\"+<7Pma
F/F&7$<#/F,$\"+e[6*>#F/F&7$<#/F,$\"+XuyZ>F/F&7$<#/F,$\"+>>vbMF/F&7$<#/
F,$\"+Ug-pfF/F&7$<#/F,$\"+:(H#)R%!#5F&7$<#/F,$\"+\"pNV(pF/F&7$<#/F,$\"
+_F(4B)F/F&7$<#/F,$\"+;0*pZ(F/F&7$<#/F,$\"+I')p<dF/F&7$<#/F,$\"+-CGO#*
F/F&7$<#/F,$\"+l,I#[)F/F&7$<#/F,$\"+*)\\&\\)*)F/F&7$<#/F,$\"+$R;P'\\F/
F&7$<#/F,$\"+xviL()F/F&7$<#/F,$\"+QQ]6pFepF&7$<#/F,$\"+!)*)Q7ZF/F&7$<#
/F,$\"+9)4w[*F/F&7$<#/F,$\"+cTt4UF/F&7$<#/F,$\"+S`kzzF/F&7$<#/F,$\"+J$
zqq$F/F&7$<#/F,$\"+.JmDsF/F&7$<#/F,$\"+#fb\\)=FepF&7$<#/F,$\"+hzxC%*Fe
pF&7$<#/F,$\"+3_!Q>\"F/F&7$<#/F,$\"+GzJGxF/F&7$<#/F,$\"+qAW]CF/F&7$<#/
F,$\"+%4(4`HF/F&7$<#/F,$\"+0Q/:_F/F&7$<#/F,$\"+L+Y'p\"F/F&" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 119 "for i from 1 to  nops(op(2,liste))
 do abscisses[i]:=simplify((subs(t=op(2,op(1,op(1,op(i,op((2,liste))))
)),x(t)))) od: " }{TEXT -1 63 "les abscisses de la diode lorsque sa vi
tesse lin\351aire est nulle" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
17 "print(abscisses);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#K%&TABLEG6#7J
/\"\"\"$\"+Gs$*Q(*!\")/\"\"#$\"+y#3Is'F+/\"\"$$\"+o:1hWF+/\"\"%$\"+#op
<q#F+/\"\"&$\"+@E8X9F+/\"\"'$\"+1XU/KF+/\"\"($\"+_MN?iF+/\"\")$\"+WnSe
RF+/\"\"*$\"+OYE!***F+/\"#5$\"+o3orkF+/\"#6$\"+=7PmaF+/\"#7$\"+e[6*>#F
+/\"#8$\"+XuyZ>F+/\"#9$\"+>>vbMF+/\"#:$\"+Wg-pfF+/\"#;$\"+9(H#)R%!\"*/
\"#<$\"+!pNV(pF+/\"#=$\"+_F(4B)F+/\"#>$\"+;0*pZ(F+/\"#?$\"+G')p<dF+/\"
#@$\"+/CGO#*F+/\"#A$\"+m,I#[)F+/\"#B$\"+!*\\&\\)*)F+/\"#C$\"+%R;P'\\F+
/\"#D$\"+yviL()F+/\"#E$\"+OQ]6pFbo/\"#F$\"+!)*)Q7ZF+/\"#G$\"+7)4w[*F+/
\"#H$\"+cTt4UF+/\"#I$\"+S`kzzF+/\"#J$\"+J$zqq$F+/\"#K$\"+-JmDsF+/\"#L$
\"+#fb\\)=Fbo/\"#M$\"+izxC%*Fbo/\"#N$\"+3_!Q>\"F+/\"#O$\"+GzJGxF+/\"#P
$\"+qAW]CF+/\"#Q$\"+%4(4`HF+/\"#R$\"+1Q/:_F+/\"#S$\"+L+Y'p\"F+Q)pprint
176\"" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 3 "
3) " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 20 "restart;with(plots):" }}{PARA 7 "" 1 "" {TEXT -1 50 "
Warning, the name changecoords has been redefined\n" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 48 "x:=t->5*t-0.4*cos(25*t);y:=t->0.4+0.4*sin
(25*t);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xGf*6#%\"tG6\"6$%)opera
torG%&arrowGF(,&*&\"\"&\"\"\"9$F/F/*&$\"\"%!\"\"F/-%$cosG6#,$*&\"#DF/F
0F/F/F/F4F(F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"yGf*6#%\"tG6\"6
$%)operatorG%&arrowGF(,&$\"\"%!\"\"\"\"\"*&F-F0-%$sinG6#,$*&\"#DF09$F0
F0F0F0F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "plot([x(t),
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