{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_s06_1" {TEXT -1 59 "6.1 Finding Abs olute Extremes of a Function on an Interval" }}{PARA 19 "" 0 "" {TEXT -1 25 "Art Belmonte, Summer 1996" }}{PARA 0 "" 0 "" {TEXT -1 119 "Thes e are the shaded gray examples which appear in Section 6.1. In-line pl ots have been removed to conserve disk space." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "restart; f:=ln(x) - 4*x^2 + x^3; plot(f, x=1..3) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,(-%#lnG6#%\"xG\"\"\"*$F)\" \"#!\"%*$F)\"\"$F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "Df:=d iff(f, x); xmin:=fsolve(Df=0, x=2..3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#DfG,(*$%\"xG!\"\"\"\"\"F'!\")*$F'\"\"#\"\"$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%xminG$\"+*)R.=E!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "f:=(x^4 + 2*x + 3) / x^2; plot(f, x=0..20, y=-100..10 0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*&,(*$%\"xG\"\"%\"\"\"F( \"\"#\"\"$F*F*F(!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }} }}{MARK "0 2 0" 60 }{VIEWOPTS 1 1 0 1 1 1803 }