{VERSION 6 0 "IBM INTEL NT" "6.0" } {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 "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 }} {SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "f:=x->x*log(x);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fGf*6#%\"xG6\"6$%)operatorG%&arrow GF(*&9$\"\"\"-%$logG6#F-F.F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "fpf:=(x0,h)->(1/(2*h))*(-3*f(x0)+4*f(x0+h)-f(x0+2*h)) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$fpfGf*6$%#x0G%\"hG6\"6$%)opera torG%&arrowGF),$*&#\"\"\"\"\"#F0*&9%!\"\",(*&\"\"$F0-%\"fG6#9$F0F4*&\" \"%F0-F96#,&F;F0F3F0F0F0-F96#,&F;F0*&F1F0F3F0F0F4F0F0F0F)F)F)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "fpf(8.1,.2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+v*f?4$!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "f(8.1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+!*)4Wp \"!\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "fpc:=(x0,h)->(1/( 2*h))*(f(x0+h)-f(x0-h));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$fpcGf*6 $%#x0G%\"hG6\"6$%)operatorG%&arrowGF),$*&#\"\"\"\"\"#F0*&9%!\"\",&-%\" fG6#,&9$F0F3F0F0-F76#,&F:F0F3F4F4F0F0F0F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "fpc(8.3,.2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# $\"+D(eh6$!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "fprime:=x ->log(x)+1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'fprimeGf*6#%\"xG6\"6 $%)operatorG%&arrowGF(,&-%$logG6#9$\"\"\"F1F1F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "fprime(8.1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+iS'=4$!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "errf:=abs(fprime(8.1)-fpf(8.1,.2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%errfG$\"'8f>!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "errc:=abs(fprime(8.3)-fpf(8.3,.2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%errcG$\"'&y'=!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "boundl:=abs(-1/(8.1)^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'boundlG$\"+.z:C:!#6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "errbl:=(0.2)^2/3*boundl;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&errblG$\"+P0@K?!#8" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "errc:=abs(fprime(8.3)-fpc(8.3,.2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%errcG$\"&!z'*!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "errbc:=(0.2)^2/6*boundl;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&errbcG$\"+p_5;5!#8" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "14 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }