{VERSION 3 0 "SUN SPARC SOLARIS" "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 "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 3 }1 0 0 -1 -1 -1 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 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "a:=3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "b:=a+4; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG\"\"(" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 16 "f:=x->1/(1+x^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGR6#%\"xG6\"6$%)operatorG%&arrowGF(*&\"\"\"F-,&\"\"\"F/*$)9 $\"\"#F-F/!\"\"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "g: =x->f(f(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gGR6#%\"xG6\"6$%)o peratorG%&arrowGF(-%\"fG6#-F-6#9$F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "g(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&\"\"\"F$,& \"\"\"F&*&F$F$*$),&F&F&*$)%\"xG\"\"#F$F&\"\"#F$!\"\"F&F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "limit((x+1)/x^2,x=0);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#%)infinityG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "limit(1/x,x=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%* undefinedG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "limit(1/x,x=0 ,right);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%)infinityG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "limit(1/x,x=0,left);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#,$%)infinityG!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "subs(x=y+1,f(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# *&\"\"\"F$,&\"\"\"F&*$),&%\"yGF&F&F&\"\"#F$F&!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "x;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%\"xG " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "subs(x=2*x,f(x));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#*&\"\"\"F$,&\"\"\"F&*$)%\"xG\"\"#F$\" \"%!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "w:=(x,y)->1/(x^ 2+y^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"wGR6$%\"xG%\"yG6\"6$%)o peratorG%&arrowGF)*&\"\"\"F.,&*$)9$\"\"#F.\"\"\"*$)9%F3F.F4!\"\"F)F)F) " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "subs(\{x=2*t,y=3*s\},w( x,y));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&\"\"\"F$,&*$)%\"tG\"\"#F$ \"\"%*$)%\"sGF)F$\"\"*!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "df:=x->f(x+dx)-f(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#dfGR6#% \"xG6\"6$%)operatorG%&arrowGF(,&-%\"fG6#,&9$\"\"\"%#dxGF2F2-F.6#F1!\" \"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "df(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&\"\"\"F%,&\"\"\"F'*$),&%\"xGF'%#dxGF'\" \"#F%F'!\"\"F'*&F%F%,&F'F'*$)F+F-F%F'F.!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "fd:=x->limit(df(x)/dx,dx=0);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%#fdGR6#%\"xG6\"6$%)operatorG%&arrowGF(-%&limitG6$*& -%#dfG6#9$\"\"\"%#dxG!\"\"/F5\"\"!F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "fd(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&%\"xG\" \"\"*$),&\"\"\"F**$)F%\"\"#F&F*\"\"#F&!\"\"!\"#" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 2 "a;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"$" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/\"\"$%\"aG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "a:='a';" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aGF$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "a;" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#%\"aG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "f:='f';" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGF$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "f(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%\"fG6#%\"xG " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "fd(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#--%\"DG6#%\"fG6#%\"xG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "f:=x->x^x;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGR 6#%\"xG6\"6$%)operatorG%&arrowGF()9$F-F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "diff(f(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #*&)%\"xGF%\"\"\",&-%#lnG6#F%F&F&F&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "diff(f(x),x$2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,& *&)%\"xGF&\"\"\"),&-%#lnG6#F&F'F'F'\"\"#\"\"\"F'*&F%F.F&!\"\"F'" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "a$5;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6'%\"aGF#F#F#F#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "i$i=3..5;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%\"\"$\"\"%\"\"&" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "diff(f(x),x,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&)%\"xGF&\"\"\"),&-%#lnG6#F&F'F'F'\"\"#\"\" \"F'*&F%F.F&!\"\"F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "diff (w(x,y),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&%\"xG\"\"\"*$),&*$) F%\"\"#F&\"\"\"*$)%\"yGF,F&F-\"\"#F&!\"\"!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "diff(w(x,y),x,y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&*&%\"xG\"\"\"%\"yGF'\"\"\"*$),&*$)F&\"\"#F)F'*$)F(F/F)F'\"\" $F)!\"\"\"\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "g:=D(f);" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gGR6#%\"xG6\"6$%)operatorG%&arrow GF(*&)9$F.\"\"\",&-%#lnG6#F.F/F/F/F/F(F(F(" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 5 "g(2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&-%#lnG6# \"\"#\"\"%F(\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "Diff( f(x),x)=diff(f(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%%DiffG6$)% \"xGF(F(*&F'\"\"\",&-%#lnG6#F(F*F*F*F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "f:='f';" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGF$" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "g:='g';" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"gGF$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "diff(f(x)/g(x),x);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&-%%diffG6$-%\"fG6#%\"xGF+\"\"\"-%\"gGF*! \"\"\"\"\"*&*&F(F0-F&6$F-F+F0F,*$)F-\"\"#F,F/!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "f@g(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#- %\"@G6$%\"fG-%\"gG6#%\"xG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "sum(1/i^2,i=1..100);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6##\"]p,*p.4 J\"=Q![$GV*))f)4Pa)\\$Q-(fQb<&GzH7J(y.LTp3&*e\"\"\\p+![_;')z^0ZN?FyTiu &*Rev>;WJism(zl*eI5QMW9'=s*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "sum(1/i,i=1..100);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6##\"J6xWJT5V!=:Ag6N?&zijmW\"\"IsA9#\\7u N_8e'3*\\)=4]\"))y#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "sum( 1/i^2,i=1..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*$)%#PiG\" \"#\"\"\"#\"\"\"\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "Su m(1/i^2,i=1..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$SumG6$*& \"\"\"F'*$)%\"iG\"\"#F'!\"\"/F*;\"\"\"%)infinityG" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 26 "sum(1/i^3,i=10..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&#!,R46[\">\",+!3I+;\"\"\"-%%ZetaG6#\"\"$F'" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "sum(1/i,i=1..infinity);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#%)infinityG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "Sum((-1)^j,j=2..infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$SumG6$)!\"\"%\"jG/F(;\"\"#%)infinityG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "limit(1/(x^2+y^2),\{x=0,y=0\});" }} {PARA 8 "" 1 "" {TEXT -1 56 "Error, (in limit/multi) invalid cancellat ion of infinity" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "evalf(sum(1/sin(i),i=1..100) );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!+5nyeg!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "f:=x->x^2/(1+x)*ln(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGR6#%\"xG6\"6$%)operatorG%&arrowGF(*&*&)9$\"\"#\" \"\"-%#lnG6#F/\"\"\"F1,&F/F5F5F5!\"\"F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "int(f(x),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,. *&)%\"xG\"\"#\"\"\"-%#lnG6#F&\"\"\"#F,F'*$F%F(#!\"\"\"\"%*&F&F,F)F(F0F &F,-%&dilogG6#,&F&F,F,F,F,*&F)F(-F*F5F,F," }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 18 "int(f(x),x=2..10);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,2-%#lnG6#\"\"#\"#S-F%6#\"\"&F(!#;\"\"\"-%&dilogG6#\"#6F-*&-F%F0F-F $F-F-*&F3\"\"\"F)F-F--F/6#\"\"$!\"\"*&F$F5-F%F7F-F9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "evalf(int(f(x),x=2..10));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+3I<5y!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "evalf(Int(f(x),x=2..10));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+5I<5y!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "w(x,y);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&\"\"\"F$,&*$)%\"xG\" \"#F$\"\"\"*$)%\"yGF)F$F*!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "int(int(w(x,y),y=1..n),x=y..n);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,L*(%\"IG\"\"\"-%#lnG6#%\"nGF&-F(6#,&F*F&F%F&F&#F&\"\"#*&F%\"\" \"-%&dilogG6#,&*&F%F1F*F&!\"\"F&F&F&#F7F/*&-F(6#,$F6F7F&%#PiGF&#F7\"\" %*(F%F1F'F1-F(6#,$*&F%F1F-F&F7F&F8*&F%F1)F=F/F1#F7\"#[%(CatalanGF7*&F= F1-F(6#F/F&#F7\"\")*&-F(6#*&,&F&F&F%F&F&F*F1F&F=F1#F&F?*(F%F1-F(6#,$*& F%F1,&F*F7F%F&F&F7F&F:F1F.*&F%F1-F36#,&F&F&F6F&F&F.*(F%F1-F(6#,&F*F&F% F7F&F:F1F8*(F%F1-F(6#%\"yGF&-F(6#,&F`oF&F%F&F&F8*&F%F1-F36#,&*&F%F1F`o F&F7F&F&F&F.*(F%F1F:F1-F(6#*&*&F%F1F`oF1F1F*!\"\"F&F8*(F%F1F^oF1-F(6#, $*&F%F1FcoF&F7F&F.*&F%F1-F36#*&,&FhoF&F*F&F1F*F^pF&F.*&F%F1-F3F[pF&F.* (F%F1-F(6#,&F`oF&F6F&F&FjoF1F.*(F%F1-F(6#,$*&F%F1,&F`oF7F%F&F&F7F&-F(6 #,$FhoF7F&F8*&F%F1-F36#,&F&F&FhoF&F&F8*(F%F1-F(6#,&F`oF&F%F7F&FeqF1F. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "?dilog;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "int(ln(t)/(1-t), t=1..x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%&dilogG6#%\"xG" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 16 "int(sin(x)/x,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #-%#SiG6#%\"xG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "b:='b':so lve(a*x^2+b*x+c=0,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,$*&,&%\"bG! \"\"*$-%%sqrtG6#,&*$)F&\"\"#\"\"\"\"\"\"*&%\"aGF1%\"cGF1!\"%F0F1F0F3! \"\"#F1F/,$*&,&F&F'F(F'F0F3F6F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "sols:=solve(x^3+2*x^2+x+1=0,x);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%%solsG6%,(*$),&\"$+\"\"\"\"*$-%%sqrtG6#\"#p\"\"\"\"#7#F+\"\"$F 1#!\"\"\"\"'*&F1F1*$)F)#\"\"\"F4F1!\"\"#!\"#F4F>F+,*F'#F+F2F8F3F>F+*(% \"IGF+-F.6#F4F1,&F'F5F8#\"\"#F4F+#F+FH,*F'FAF8F3F>F+FB#F6FH" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "sols[1];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$),&\"$+\"\"\"\"*$-%%sqrtG6#\"#p\"\"\"\"#7#F(\"\"$F. #!\"\"\"\"'*&F.F.*$)F&#\"\"\"F1F.!\"\"#!\"#F1F;F(" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 40 "simplify(subs(x=sols[1],x^3+2*x^2+x+1));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "solve(\{x^2+y^2=5,x+y=3\},\{x,y\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$<$/%\"xG\"\"#/%\"yG\"\"\"<$/F(F&/F%F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "solve(\{x^2+y^2=5,x^3+y^3=9\},\{x,y \});" }}{PARA 12 "" 1 "" {XPPMATH 20 "6%<$/%\"xG\"\"#/%\"yG\"\"\"<$/F( F&/F%F)<$/F(-%'RootOfG6#,,*$)%#_ZG\"\"%\"\"\"F&*$)F5\"\"$F7\"\"'*$)F5F &F7!\"\"F5!#L!#AF)/F%,**$)F/F:F7#!\"%\"#6F:F)*$)F/F&F7#!\"'FGF/F)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "eq1:=x+y+z=1: eq2:=x-y+z=1; " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq2G/,(%\"xG\"\"\"%\"yG!\"\"%\" zGF(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "solve(\{eq1,eq2\} ,\{x,y\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<$/%\"xG,&\"\"\"F'%\"zG! \"\"/%\"yG\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "evalf(Pi ,50);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"S^P*Rpr>%)G]zKQVEYQKz*e`Ef TJ!#\\" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "sum(1/i^2,i=1..in finity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*$)%#PiG\"\"#\"\"\"#\"\" \"\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "s1:=n->evalf(sqr t(6*sum(1/i^2,i=1..n)));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s1GR6#% \"nG6\"6$%)operatorG%&arrowGF(-%&evalfG6#-%%sqrtG6#,$-%$sumG6$*&\"\"\" F7*$)%\"iG\"\"#F7!\"\"/F:;\"\"\"9$\"\"'F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "s1(3000);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+ \"Qu79$!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "arctan(1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$%#PiG#\"\"\"\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "taylor(arctan(x),x=0,16);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#+5%\"xG\"\"\"\"\"\"#!\"\"\"\"$\"\"$#F%\"\"& \"\"&#F(\"\"(\"\"(#F%\"\"*\"\"*#F(\"#6\"#6#F%\"#8\"#8#F(\"#:\"#:-%\"OG 6#F%\"#;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "series(arctan(x ),x=0,16);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#+5%\"xG\"\"\"\"\"\"#!\" \"\"\"$\"\"$#F%\"\"&\"\"&#F(\"\"(\"\"(#F%\"\"*\"\"*#F(\"#6\"#6#F%\"#8 \"#8#F(\"#:\"#:-%\"OG6#F%\"#;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "s2:=n->evalf(4*sum((-1)^i/(2*i+1),i=0..n));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s2GR6#%\"nG6\"6$%)operatorG%&arrowGF(-%&evalfG6#,$-% $sumG6$*&)!\"\"%\"iG\"\"\",&F6\"\"#\"\"\"F:!\"\"/F6;\"\"!9$\"\"%F(F(F( " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "s2(100);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+,M\\^J!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "s2(1000);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+a;fUJ !\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "arctan(1/sqrt(3)); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$%#PiG#\"\"\"\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "6*arctan(1/sqrt(3));" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#%#PiG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "85 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }