{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times " 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 1 0 1 0 2 2 0 1 } {PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 21 "Solutions de la d\351mos" }}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 10 "Exercice 1" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "restart;\neqn:=x^2+x-6=0;\nsol:=[solve(eqn,x)];\nsol[2];" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 4 "" 0 " " {TEXT -1 11 "Exercices 2" }}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 3 "2-1 " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "restart;\nevalf(seq(sqrt (i),i=1..10));" }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 3 "2-2" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 101 "restart;\nf:=x->sin(x);\nang:=[0,P i/6,Pi/4,Pi/3,Pi/2];\nListe:=seq([x,f(x)],x=ang);\ntab:=evalm([Liste]) ;" }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 3 "2.3" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "restart;\neqn:=cos(x)=x;\nfsolve(eqn,x);" }}}}} {SECT 0 {PARA 4 "" 0 "" {TEXT -1 11 "Exercices 3" }}{SECT 0 {PARA 5 " " 0 "" {TEXT -1 3 "3-1" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "re start;\nf:=x->sin(x);g:=x->tan(x);\nplot([f(x),g(x)],x=0..2*Pi,-2..2); " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG%$sinG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG%$tanG" }} {PARA 13 "" 1 "" {GLPLOT2D 381 286 286 {PLOTDATA 2 "6&-%'CURVESG6$7en7 $$\"\"!F)F(7$$\"3i]cC&eb&p8!#=$\"3+9&o'z\"y_O\"F-7$$\"3YqR*pd)>hDF-$\" 3K!y=V&*)GLDF-7$$\"3Zs[E^dK,RF-$\"3R]F<<.6.QF-7$$\"3ab^NehL]_F-$\"3I,* y(H4U7]F-7$$\"35*QhW&\\$Hf'F-$\"3%=pD*eceDhF-7$$\"3zS11.fpPyF-$\"3w>82 *oU&fqF-7$$\"3upr'fwtl7*F-$\"3@)*QjP!>8\"zF-7$$\"3!QRa&4L&f/\"!#<$\"3[ [%3w7ESl)F-7$$\"3YjXwg<#)y6FQ$\"3Pi.Z,bcT#*F-7$$\"36qGW%H$\\:8FQ$\"3!e $pSF\"oen*F-7$$\"3SH22vMov8FQ$\"35_*\\T'zD5)*F-7$$\"3$*)e)pbO(eV\"FQ$ \"3#ffI'ft64**F-7$$\"3/]+3VNj.:FQ$\"3)\\\"3MzUXx**F-7$$\"396:YIMRr:FQ$ \"2-6Ot@)******FQ7$$\"3Z'z]kaJ%R;FQ$\"3Ay8:y_Xw**F-7$$\"3!=3SCmpuq\"FQ $\"3s;Nd#HZn!**F-7$$\"33u?N%*p.tFQ$\"3cBCb^l'3E*F-7$$\"3#=uye<)G*4#FQ $\"3;2*>c4&oN')F-7$$\"3Ua[#o!GC>AFQ$\"3Se*Rp1I-(zF-7$$\"3-YwJf&y(eBFQ$ \"3c:s(f4sF0(F-7$$\"3oNrpV8H#[#FQ$\"3(y]$4EukDhF-7$$\"3EzY)QW/yh#FQ$\" 3?Pawd/k,]F-7$$\"35v)>8'\\%ou#FQ$\"3i\"*R%R(HvXQF-7$$\"3w$GCS?&[\")GFQ $\"3!\\o6f)Q%=d#F-7$$\"3Z%)='p(p70IFQ$\"3Kh5Xo]Ug8F-7$$\"3sA%)\\K8\\QJ FQ$\"3^)pb)>hJ,J!#?7$$\"3c&fJlT>qF$FQ$!3)[9aqyJ,N\"F-7$$\"39l2\"4_3wR$ FQ$!3w\"*=GeHGKDF-7$$\"3MOnGd![y_$FQ$!39*)zsmMAnPF-7$$\"3#*=4JU#)RiOFQ $!3#35.)=3zv\\F-7$$\"3%G,f%[$HSz$FQ$!3!fgI[?W72'F-7$$\"3KoE+7#*Q@RFQ$! 3#=$4p_xMJqF-7$$\"3y(f0ii+G1%FQ$!3WWqZN&GL'zF-7$$\"3;fORr]')*=%FQ$!33* 3&3nLil')F-7$$\"3R&p%*z[LbK%FQ$!3]$[$Q0***4E*F-7$$\"3M'pExBp%[WFQ$!3'R 4g7n[Pl*F-7$$\"3,z&[2')pc^%FQ$!30-Py@682)*F-7$$\"3oh/x$[qGe%FQ$!3$euj/ )>C;**F-7$$\"3qQq'H.,hk%FQ$!3Ief(ReP!y**F-7$$\"3e;O;#eJ$4ZFQ$!3;'*phhK &*****F-7$$\"3sU'G^sDax%FQ$!311%\\AUQ,)**F-7$$\"3&)oO4o)>:%[FQ$!32^6Oe =u;**F-7$$\"3;@9vt*Qh!\\FQ$!31K)*)[7\"*G\")*F-7$$\"3Ou\"4%z!e2(\\FQ$!3 _#49llz!o'*F-7$$\"3*zX#[4&eg5&FQ$!3]_&yQBx]B*F-7$$\"3n*e![/*ojB&FQ$!3o \"*oMmwMe')F-7$$\"3#ob8X5I'p`FQ$!3Froqht!o\"zF-7$$\"3PA\"GX$yy,bFQ$!3x 5TwV@sUqF-7$$\"39L1/jqABcFQ$!3)\\'4LY'Q38'F-7$$\"3mweKB,TidFQ$!3iCF-zq _v\\F-7$$\"3'oIe;6(*o)eFQ$!3s)y_Bpo*fQF-7$$\"3nKcu0ii>gFQ$!3dChVjR=0EF -7$$\"3w)*zj%)[mYhFQ$!3]'*=#eVn4O\"F-7$$\"3)****>YH&=$G'FQ$!3/UE[]'efD \"!#D-%'COLOURG6&%$RGBG$\"#5!\"\"F(F(-F$6$7[qF'7$F+$\"3i!HW&fJ=y8F-7$F 1$\"3z1s'*[2r=EF-7$F6$\"34`RL%**)47TF-7$F;$\"3aj:up(\\Ez&F-7$F@$\"3y3! ROtM(\\xF-7$FE$\"3#p-H#o9[n**F-7$FJ$\"3?N@'fD[MH\"FQ7$FO$\"3(>(p=TX3F< FQ7$FU$\"3v*Q\\V`p\">CFQ7$FZ$\"3]q_f.3WJQFQ7$Fin$\"3uYh&etN+1&FQ7$F^o$ \"35.a<_RimtFQ7$$\"3Q>$*Q*f`(p9FQ$\"3ue^Tj%*4j)*FQ7$Fco$\"3w=*)R*Q!o'[ \"!#;7$$\"3rKF+HN57:FQ$\"35?::$oH=q\"Ff`l7$$\"3P:a#\\^t0_\"FQ$\"3K!R?) *o_%*)>Ff`l7$$\"3/)4[3]V!H:FQ$\"3;/QyVbl$R#Ff`l7$$\"3q!yqn[8v`\"FQ$\"3 /m:q7!#:7$$\"3#*p,]P%erc\"FQ$\"3)>fE%yX$)[FF_cl7$Fho$!3G_DKj 3vu;!#97$$\"3[T3r7ekv:FQ$!3S+_@y!e?1#F_cl7$$\"3!=)*)z:FQ$!3E3t*)3 _k)4\"F_cl7$$\"39-&4sd]Te\"FQ$!3%G9cRU2y[(Ff`l7$$\"3[K)e%fHS)e\"FQ$!3/ m!G='34zcFf`l7$$\"39$\\dRs2pf\"FQ$!3r)y(3f[()GQFf`l7$$\"3\"Q:c%)[7ag\" FQ$!3W`qMw+n()GFf`l7$$\"3Z9[&HDFf`l7$$\"3\"e8_>yE4j\"FQ$!3ceKNUf/h;Ff`l7$F]p$!3+w1um$* oa9Ff`l7$$\"39RaW/1Xt;FQ$!3,))))>0J>2(*FQ7$Fbp$!3s7h!4_,6F(FQ7$Fgp$!3= p=,Pe+x[FQ7$F\\q$!3qdVx0$>Vk$FQ7$Faq$!3ytfrZ#RWX#FQ7$Ffq$!3Ig)\\A%Gk7< FQ7$F[r$!3H$Q\"[ngo>8FQ7$F`r$!3+H'4rq^%[**F-7$Fer$!3i6\"o6\")f)\\xF-7$ Fjr$!3i\"e#Hc(Ggx&F-7$F_s$!3s4mu1q:mTF-7$Fds$!3a'*)Q^)fOhEF-7$Fis$!3)p Cg&H;>t8F-7$F^t$!395KWM5L,JFbt7$Fdt$\"3Q)yia43EO\"F-7$Fit$\"3;L(=Dc*f< EF-7$F^u$\"3Sdw.eJ%o1%F-7$Fcu$\"3W7(ff1?jt&F-7$Fhu$\"3%zQ2=Hk0k(F-7$F] v$\"3MD6M03f)))*F-7$Fbv$\"3dB_0Z-c;8FQ7$Fgv$\"3wKx+&Hejt\"FQ7$F\\w$\"3 cg6WSvoaCFQ7$Faw$\"37*fpb=Y1q$FQ7$Ffw$\"3DxkSMrk<]FQ7$F[x$\"3o&=Xiu$ox wFQ7$$\"3>](o$ed[9YFQ$\"3(\\98bJ^\"=5Ff`l7$F`x$\"3/6$34ifj]\"Ff`l7$$\" 3Q$=m-n3>m%FQ$\"3Y1#RXV(Gz>Ff`l7$$\"33G`c2jrxYFQ$\"3k2iY])fH)GFf`l7$$ \"3)***[@E,i&o%FQ$\"38GZ8,CzMPFf`l7$$\"3)=Zk[%R_$p%FQ$\"3%GY5sz#=+`Ff` l7$$\"3#yD*=aeZ(p%FQ$\"3AYu1a]+0nFf`l7$$\"3zVS^jxU,ZFQ$\"3*Q2\\XH4F7*F f`l7$$\"3jI)QGnz`q%FQ$\"3,0cH(3^mU\"F_cl7$Fex$\"3kZe0RYuqKF_cl7$$\"3%* H*)4mCY8ZFQ$!3Vc'4f4WaJ*F_cl7$$\"3=WU.]LfF_cl7$$\"3V e&pRBCCg2CFQ7$Fcz$!3t_(H$>s_I " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 3 "3-2" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 114 "restart;\nwith (plots):\neq1:=x+2*y=5;\neq2:=2*x+y=4;\nsolve(\{eq1,eq2\},\{x,y\});\ni mplicitplot(\{eq1,eq2\},x=-5..5,y=-5..5);" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been redefined\n" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%$eq1G/,&%\"xG\"\"\"*&\"\"#F(%\"yGF(F(\"\"&" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq2G/,&%\"xG\"\"#%\"yG\"\"\"\"\"%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\"xG\"\"\"/%\"yG\"\"#" }}{PARA 13 "" 1 "" {GLPLOT2D 381 286 286 {PLOTDATA 2 "6%-%'CURVESG6<7$7$$!3k** ***********f%!#<$\"3#)*************z%F*7$$!\"&\"\"!$\"3)3+++++++&F*7$7 $$!3G*************>%F*$\"3_+++++++YF*F'7$7$$!3Q*************z$F*$\"3Y* ************R%F*F47$7$$!3Y*************R$F*$\"3;+++++++UF*F:7$7$$!3c** ************HF*$\"\"%F0F@7$7$$!3k*************f#F*$\"3#)*************z $F*FF7$7$$!3s*************>#F*$\"3k*************f$F*FL7$7$$!3#)******* ******z\"F*$\"3!**************R$F*FR7$7$$!3!**************R\"F*$\"3;++ +++++KF*FX7$7$$!2))***************F*$\"\"$F0Fhn7$7$$!3m)*************f !#=$\"3#)*************z#F*F^o7$7$$!3W)*************>Fgo$\"33+++++++EF* Fdo7$7$$\"3w,++++++?Fgo$\"3!**************R#F*F[p7$7$$\"3)>+++++++'Fgo $\"3;+++++++AF*Fap7$7$$\"3A+++++++5F*$\"\"#F0Fgp7$7$$\"3M+++++++9F*$\" 3E+++++++=F*F]q7$7$Ffq$\"3')*************f\"F*Fcq7$7$FjpFdqFiq7$7$F^p$ \"3;+++++++7F*F]r7$7$FaoF^qF_r7$7$Fen$\"3U+++++++!)FgoFcr7$7$FOFhpFer7 $7$FC$\"3m**************RFgoFir7$7$F7FbpF[s7$7$F1$!3W/K\"3h.g*\\!#LF_s -%'COLOURG6&%$RGBG\"\"\"F0F0-F$6U7$7$F\\pF=7$$!3?.++++++IFgoF77$F^t7$$ !3m4++++++SFgo$\"3g,++++++[F*7$7$$!3W/++++++]FgoF1Fbt7$7$FbpFU7$$\"3g+ ++++++5Fgo$\"3E+++++++QF*7$7$$\"3Y+++++++5FgoFO7$$!3O\"*GchvbvFFds$\"3 )3+++++++%F*7$7$$!3'=+++++++\"FgoFCFfu7$7$$!3s,++++++5FgoFCF]t7$7$FhpF ho7$$\"35,++++++]FgoFao7$Fev7$F\\sF[o7$7$$\"3))**************HFgoFenFi v7$7$$\"3U+++++++IFgo$\"3M+++++++MF*F\\u7$7$F^q$\"3M**************>F*7 $$\"3)o**************)FgoFjp7$Fhw7$$\"3w$*************zFgo$\"3C,++++++ CF*7$7$$\"3W)*************pFgoF^pF\\x7$7$$\"3a**************pFgoF^pFdv 7$7$Fdq$\"3G*************>\"F*7$$\"3#)*************H\"F*Fdq7$F]y7$F[y$ \"3?,++++++;F*7$7$$\"3')*************4\"F*FfqFay7$FeyFew7$7$Ffq$\"3+$* ************RFgo7$$\"3%**************p\"F*Fhp7$F]z7$$\"3U************* f\"F*$\"3a6++++++!)Fgo7$7$$\"3++++++++:F*F^qFaz7$7$$\"3A+++++++:F*$\"3 W+++++++5F*Fjx7$7$Fjp$!3+.++++++SFgo7$$\"33+++++++@F*F\\p7$Fd[l7$$\"3y **************>F*$\"3(4OQajEi5'Fds7$7$$\"3!***************=F*FbpFh[l7$ F^\\lFjy7$7$F^p$!3;+++++++7F*7$$\"3++++++++DF*F_o7$7$Fg\\l$!2y******** *******F*7$$\"3Y*************R#F*$!3w$*************zFgo7$7$$\"3#)***** ********H#F*FeoF]]l7$Fc]lFa[l7$7$Fao$!\"#F07$$\"3!***************GF*FY 7$F[^l7$Fho$!3k*************f\"F*7$7$$\"3;+++++++FF*FinF_^l7$Fc^lFc\\l 7$7$Fen$!3#)*************z#F*7$$\"3E+++++++LF*FM7$7$$\"3#)************ *H$F*FM7$F[o$!3Y*************R#F*7$7$$\"33+++++++JF*FSFb_l7$Ff_lFh]l7$ 7$FO$!3k*************f$F*7$$\"3;+++++++PF*FA7$7$$\"3s*************p$F* FA7$FU$!3G*************>$F*7$7$$\"3++++++++NF*FGFe`l7$7$$\"3c********* ****\\$F*FGFh^l7$7$FC$!3M+++++++WF*7$$\"3k*************4%F*F57$Fdal7$$ \"37**************RF*$!3A)*************RF*7$7$$\"3Y**************QF*$! 3#*)************z$F*Fhal7$F^blF[`l7$7$$\"3++++++++XF*F.7$F=$!3#*)***** *******z%F*7$7$$\"3#)*************H%F*F(Fhbl7$F\\clFaalFes-%+AXESLABEL SG6$%\"xG%\"yG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" } }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 10 "Exercice 4" }}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 3 "4-1" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "restart;\nf:=x^3;\nder2:=diff(f,x$2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*$)%\"xG\"\"$\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%% der2G,$%\"xG\"\"'" }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 3 "4.2" }} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "restart;\nf:=x->x^3;\nder2:= (D@@2)(f)(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\"6$% )operatorG%&arrowGF(*$)9$\"\"$\"\"\"F(F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%der2G,$%\"xG\"\"'" }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 3 "4.3" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "restart; \nf:=x->x^3;\nF:=x->int(f(x),x);\nF(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\"6$%)operatorG%&arrowGF(*$)9$\"\"$\"\"\"F(F(F( " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FGf*6#%\"xG6\"6$%)operatorG%&a rrowGF(-%$intG6$-%\"fG6#9$F2F(F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# ,$*$)%\"xG\"\"%\"\"\"#F(F'" }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 3 "4. 4" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "restart;\nf:=x->x^3;\nF D:=int(f(x),x=2..4);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#% \"xG6\"6$%)operatorG%&arrowGF(*$)9$\"\"$\"\"\"F(F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#FDG\"#g" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#g" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}}}{MARK "1 4 4 1 0 \+ 0" 42 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }