{VERSION 3 0 "IBM INTEL NT" "3.0" } {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 } {PSTYLE "Normal" -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 "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 "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 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "f := x -> evalf(sqrt (1+x^2)):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "f(0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"\"\"\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "Digits := 10:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 113 "for i from 1 to 5 do n:=10^i: L[i]:=0:for k from 0 to n-1 do L[i]:= L[i] +f(k/n): od: L[i] := evalf(L[i]/n): od:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "for i from 1 to 5 do L[i]; od;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+EAnF6!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+,%Gd9\"!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+FleZ6!\"* " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+gGxZ6!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+.:zZ6!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "evalf(int(f(t), t=0..1));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\" +vNzZ6!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "F := x -> eva lf(int(f(t), t=0..x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FGR6#%\" xG6\"6$%)operatorG%&arrowGF(-%&evalfG6#-%$intG6$-%\"fG6#%\"tG/F5;\"\"! 9$F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "plot([f(x), F(x )], x=0..1, color=[red,blue]);" }}{PARA 13 "" 1 "" {GLPLOT2D 400 300 300 {PLOTDATA 2 "6&-%'CURVESG6$7S7$\"\"!$\"\"\"F(7$$\"1nmm;arz@!#<$\"1 \"pa(HvB+5!#:7$$\"1LL$e9ui2%F.$\"1]srb/$3+\"F17$$\"1nmm\"z_\"4iF.$\"1t %>X#e#>+\"F17$$\"1mmmT&phN)F.$\"14I90_[.5F17$$\"1LLe*=)H\\5!#;$\"1Hr0j +\\05F17$$\"1nm\"z/3uC\"FD$\"1\"Q[@5]x+\"F17$$\"1++DJ$RDX\"FD$\"1!)*3v G%\\55F17$$\"1nm\"zR'ok;FD$\"1C/X=7w85F17$$\"1++D1J:w=FD$\"1LZ*RaZu,\" F17$$\"1LLL3En$4#FD$\"1gTlkAo@5F17$$\"1nm;/RE&G#FD$\"1*4%4b)zd-\"F17$$ \"1+++D.&4]#FD$\"1\"=%Hf%*zI5F17$$\"1+++vB_*pEO5F17$$\"1++ +v'Hi#HFD$\"1&[Y`$[$>/\"F17$$\"1nm\"z*ev:JFD$\"1$Qulb:u/\"F17$$\"1LLL3 47TLFD$\"1Zr(p2RV0\"F17$$\"1LLLLY.KNFD$\"1k[n!eV01\"F17$$\"1++D\"o7Tv$ FD$\"1`\"eM%\\9o5F17$$\"1LLL$Q*o]RFD$\"1EOxe8@v5F17$$\"1++D\"=lj;%FD$ \"1Ry4Q#36\\36F17$$\"1nm;/T1&*\\FD$ \"1,)efL8y6\"F17$$\"1mm\"zRQb@&FD$\"1)=y]$z$y7\"F17$$\"1***\\(=>Y2aFD$ \"1meZ`0%o8\"F17$$\"1mm;zXu9cFD$\"1jz?\\]%o9\"F17$$\"1+++]y))GeFD$\"1c qXM(zu:\"F17$$\"1****\\i_QQgFD$\"14Ei@*p\"o6F17$$\"1***\\7y%3TiFD$\"1C ?Hy`xy6F17$$\"1****\\P![hY'FD$\"1uP6MX%3>\"F17$$\"1LLL$Qx$omFD$\"1W+2F `%>?\"F17$$\"1+++v.I%)oFD$\"1H7)[idS@\"F17$$\"1mm\"zpe*zqFD$\"1Zz)>Se_ A\"F17$$\"1+++D\\'QH(FD$\"1VM\"F17$$\"1LL$3dg6<*FD$\"1)>>w3soN\"F17$$\"1mmm mxGp$*FD$\"1z'*p#RT.P\"F17$$\"1++D\"oK0e*FD$\"1B$eVTq[Q\"F17$$\"1++v=5 s#y*FD$\"1(f-*))R$*)R\"F17$F)$\"1&4tBc8UT\"F1-%'COLOURG6&%$RGBG$\"*+++ +\"!\")F(F(-F$6$7S7$F(F(7$F,$\"1jsG2!)))z@F.7$F3$\"1-=d@FSxSF.7$F8$\"1 7:`Q-98iF.7$F=$\"1=*HK&R)eO)F.7$FB$\"1?>#3`?70\"FD7$FH$\"1.%3'Rbj]7FD7 $FM$\"12c%)p5jd9FD7$FR$\"1QVoGLMs;FD7$FW$\"13\"=0K-r)=FD7$Ffn$\"1()Q]x %p)3@FD7$F[o$\"1aQ\"[(>+0BFD7$F`o$\"1pMG*R#yEDFD7$Feo$\"1+&3-941v#FD7$ Fjo$\"1P,5L.ZnHFD7$F_p$\"1Ndk+(ea;$FD7$Fdp$\"1jI*yX\"G-MFD7$Fip$\"1KaM ;m:/OFD7$F^q$\"1JF]Tl^SQFD7$Fcq$\"1%piXNy60%FD7$Fhq$\"1$zJvPVRG%FD7$F] r$\"1#)\\#)fAD2XFD7$Fbr$\"1K0;[O0UZFD7$Fgr$\"1s9$>se$f\\FD7$F\\s$\"1![ (\\Uhi&>&FD7$Fas$\"1#[L=-uJW&FD7$Ffs$\"1s:Q)\\#\\gcFD7$F[t$\"1=!eisrr* eFD7$F`t$\"1*ej$)>%*Q9'FD7$Fet$\"1@3Q<\")\\(Q'FD7$Fjt$\"1z,YjhNDmFD7$F _u$\"1m]kPw+#*oFD7$Fdu$\"1`o#ox\\R8(FD7$Fiu$\"1U/.5.y%R(FD7$F^v$\"1n*z 368Mj(FD7$Fcv$\"1E&[!zU$o*yFD7$Fhv$\"1!)\\EJT:Z\")FD7$F]w$\"1nk]X\"39T )FD7$Fbw$\"1,&=t6wBn)FD7$Fgw$\"1<\\;?&)R[*)FD7$F\\x$\"14$QX&[+<#*FD7$F ax$\"1.;z4=a%\\*FD7$Ffx$\"18#p(Qmms(*FD7$F[y$\"1iCp&H!3.5F17$F`y$\"1kN V!=sH.\"F17$Fey$\"1)poFo))*f5F17$Fjy$\"1`&=kg*3*3\"F17$F_z$\"1&))*=!*> B<6F17$F)$\"1>jpuNzZ6F1-Fgz6&FizF(F(Fjz-%+AXESLABELSG6$Q\"x6\"%!G-%%VI EWG6$;F(F)%(DEFAULTG" 1 2 0 1 0 2 9 1 4 2 1.000000 45.000000 45.000000 0 }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK " 8 0 0" 0 }{VIEWOPTS 1 1 0 3 2 1804 }