{VERSION 2 3 "APPLE_68K_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 1 116 111 127 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 0 112 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 1 150 0 172 0 0 0 0 0 0 0 0 0 0 }1 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Title" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 104 168 230 0 0 1 1 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }{PSTYLE "Author" 0 19 1 {CSTYLE "" -1 -1 "" 0 1 197 191 130 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 8 8 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 18 "" 0 "top_s10_5" {TEXT -1 24 "10.5 Taylor Pol ynomials" }}{PARA 19 "" 0 "" {TEXT -1 25 "Art Belmonte, Summer 1996" } }{PARA 0 "" 0 "" {TEXT -1 64 "These are the shaded gray examples which appear in Section 10.5." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "restart; taylor(sin(x), x=0, 6); p:=convert(\", polynom);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#++%\"xG\"\"\"\"\"\"#!\"\"\"\"'\"\"$#F%\"$?\" \"\"&-%\"OG6#F%\"\"'" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG,(%\"xG \"\"\"*$F&\"\"$#!\"\"\"\"'*$F&\"\"&#F'\"$?\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "taylor(sin(x), x=Pi/2, 8); p:=convert(\", polyno m);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#+-,&%\"xG\"\"\"%#PiG#!\"\"\"\"# F&\"\"!F(\"\"##F&\"#C\"\"%#F)\"$?(\"\"'-%\"OG6#F&\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"pG,*\"\"\"F&*$,&%\"xGF&%#PiG#!\"\"\"\"#F-F+*$F (\"\"%#F&\"#C*$F(\"\"'#F,\"$?(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "diff(sin(x), x$8); subs(x=xi, \");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$sinG6#%\"xG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$si nG6#%#xiG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "evalf((Pi/2)^8 / 8!);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+eFg#>*!#8" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "plot(\{sin(x), p\}, x=-Pi/2..3*Pi/2 );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "6 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }