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{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 44 "Estimation and Limits --
 A More Precise Look" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "
" {TEXT -1 94 "The cell below illustrates how Maple can be used to stu
dy one model for pollution in a lake.  " }{TEXT 256 15 "Evaluate it no
w" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 158 "p := proc(n)\n  if n = 1 then 10 else 0.80 \+
* p(n-1) fi\nend:\n\np(5);\np(10);\n\nfor k from 1 to 20 \n      do pr
intf(`%4d %10.4f`, k, p(k));\n      print();\n      od;" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 89 "The cell \+
below illustrates how Maple can be used to investigate the slope of a \+
tangent.  " }{TEXT 257 16 "Evaluate it now." }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 90 "f := x -> x^2:\n
\nEstimate := x -> (f(x) - f(0.5))/(x - 0.5):\n\nEstimate(0.7);\nEstim
ate(0.3);" }}}}{MARK "3 0 0" 76 }{VIEWOPTS 1 1 0 1 1 1803 }