{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 "" -1 256 "" 0 1 0 0 0 0 0 1 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 "" 0 256 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 1 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 256 "" 0 "" {TEXT -1 31 "Sequences -- Pack Hunter Models" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 113 "The cell below illustrates the way in which Maple can be used to \+ work with models like the ones in this module. " }{TEXT 256 16 "Evalu ate it now." }}{PARA 0 "" 0 "" {TEXT -1 1 "\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 440 "InitialValue := 100:\n Fcn := \n proc(p)\n if p < 500 then (1.5 * p/500) * p else (2.0 - p/1000) * p\n \+ fi\n end:\n\n plot('Fcn(p)', p = 0..2000);\n\n pop :=\n \+ proc(n)\n if n = 1 then InitialValue else Fcn(pop(n-1)) \n \+ fi \n end:\n \n for k from 1 to 10 \n do printf(`%4d %10. 4f`, k, pop(k));\n print();\n od;\n\n plot([seq([n, pop(n)], n = 1 .. 10)], \n year = 1 .. 10, title = `Population`);" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 79 "No w you can use these Maple tools to answer the questions posed in this \+ module." }}}}{MARK "0 0 0" 31 }{VIEWOPTS 1 1 0 1 1 1803 }