{VERSION 6 1 "Windows XP" "6.1" }
{USTYLETAB {PSTYLE "Ordered List 5" -1 200 1 {CSTYLE "" -1 -1 "Times" 
1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 3 3 2 144 2 0 2 2 -1 1 }
{PSTYLE "Ordered List 4" -1 201 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 
1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 3 3 2 108 2 0 2 2 -1 1 }{PSTYLE "Ordere
d List 3" -1 202 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 
0 0 0 1 }1 1 0 0 3 3 2 72 2 0 2 2 -1 1 }{PSTYLE "Ordered List 2" -1 
203 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 
0 0 3 3 2 36 2 0 2 2 -1 1 }{PSTYLE "Ordered List 1" -1 204 1 {CSTYLE "
" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 3 3 2 0 2 0 
2 2 -1 1 }{PSTYLE "Dash Item" -1 16 1 {CSTYLE "" -1 -1 "Times" 1 12 0 
0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1 }{PSTYLE "Warn
ing" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 0 0 
0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Bullet Item" -1 15 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 3 
3 2 0 2 0 2 2 -1 1 }{PSTYLE "Line Printed Output" -1 6 1 {CSTYLE "" 
-1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 0 0 0 1 }1 1 0 0 0 0 2 0 2 
0 2 2 -1 1 }{PSTYLE "Heading 4" -1 20 1 {CSTYLE "" -1 -1 "Times" 1 10 
0 0 0 1 1 1 2 2 2 2 0 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "He
ading 3" -1 5 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 1 1 2 2 2 2 0 0 
0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE 
"" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }1 1 0 0 8 2 2 0 2 
0 2 2 -1 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 
12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE 
"Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 
0 0 0 1 }1 1 0 0 8 4 2 0 2 0 2 2 -1 1 }{PSTYLE "_pstyle205" -1 205 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }3 1 0 0 0 
0 2 0 2 0 2 2 -1 1 }{PSTYLE "Author" -1 19 1 {CSTYLE "" -1 -1 "Times" 
1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }3 1 0 0 8 8 2 0 2 0 2 2 -1 1 }
{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 
2 2 2 2 2 0 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Help" -1 10 
1 {CSTYLE "" -1 -1 "Courier" 1 9 0 0 255 1 2 2 2 2 2 1 0 0 0 1 }1 1 0 
0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Left Justified Maple Output" -1 12 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 0 
0 2 0 2 0 2 2 -1 1 }{PSTYLE "Fixed Width" -1 17 1 {CSTYLE "" -1 -1 "Co
urier" 1 10 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 
}{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 
1 2 2 2 2 2 1 0 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "List Ite
m" -1 14 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }
1 1 0 0 3 3 2 0 2 0 2 2 -1 1 }{PSTYLE "Error" -1 8 1 {CSTYLE "" -1 -1 
"Courier" 1 10 255 0 255 1 2 2 2 2 2 1 0 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 
2 -1 1 }{PSTYLE "Diagnostic" -1 9 1 {CSTYLE "" -1 -1 "Courier" 1 10 
64 128 64 1 2 2 2 2 2 1 0 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }
{PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 1 2 
2 2 0 0 0 1 }3 1 0 0 12 12 2 0 2 0 2 2 -1 1 }{PSTYLE "Normal" -1 0 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }1 1 0 0 0 
0 2 0 2 0 2 2 -1 1 }{CSTYLE "LaTeX" -1 32 "Times" 1 12 0 0 0 1 2 2 2 
2 2 2 0 0 0 1 }{CSTYLE "Maple Comment" -1 21 "Courier" 1 12 0 0 0 1 2 
1 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Bold" -1 5 "Times" 1 12 0 0 0 1 2 
1 2 2 2 2 0 0 0 1 }{CSTYLE "_cstyle203" -1 200 "Times" 1 12 0 0 0 1 2 
1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Underlined" -1 44 "Times" 1 12 0 0 0 
1 2 2 1 2 2 2 0 0 0 1 }{CSTYLE "Output Labels" -1 29 "Times" 1 8 0 0 
0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Maple Input" -1 0 "Courier" 1 12 
255 0 0 1 2 1 2 2 1 2 0 0 0 1 }{CSTYLE "Page Number" -1 33 "Times" 1 
12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Maple Input Placeholder" -1 
201 "Courier" 1 12 200 0 200 1 2 1 2 2 1 2 0 0 0 1 }{CSTYLE "Text" -1 
202 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Italic \+
Small" -1 203 "Times" 1 1 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help H
eading" -1 26 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Help \+
Italic Bold" -1 40 "Times" 1 12 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "
Help Normal" -1 30 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "
Help Nonterminal" -1 24 "Courier" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }
{CSTYLE "2D Math Small" -1 7 "Times" 1 1 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }
{CSTYLE "Help Underlined Italic" -1 43 "Times" 1 12 0 0 0 1 1 2 1 2 2 
2 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 
0 0 1 }{CSTYLE "Copyright" -1 34 "Times" 1 10 0 0 0 1 2 2 2 2 2 2 0 0 
0 1 }{CSTYLE "Hyperlink" -1 17 "Times" 1 12 0 128 128 1 2 2 1 2 2 2 0 
0 0 1 }{CSTYLE "Plot Title" -1 27 "Times" 1 10 0 0 0 1 2 1 2 2 2 2 0 
0 0 1 }{CSTYLE "2D Input" -1 19 "Times" 1 12 255 0 0 1 2 2 2 2 1 2 0 
0 0 1 }{CSTYLE "Help Maple Name" -1 35 "Times" 1 12 104 64 92 1 2 1 2 
2 2 2 0 0 0 1 }{CSTYLE "Help Italic" -1 42 "Times" 1 12 0 0 0 1 1 2 2 
2 2 2 0 0 0 1 }{CSTYLE "Help Underlined Bold" -1 41 "Times" 1 12 0 0 
0 1 1 1 2 2 2 2 0 0 0 1 }{CSTYLE "Default" -1 38 "Times" 1 12 0 0 0 1 
2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Fixed" -1 23 "Courier" 1 10 0 0 0 
1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Dictionary Hyperlink" -1 45 "Times" 1 
12 147 0 15 1 2 2 1 2 2 2 0 0 0 1 }{CSTYLE "2D Output" -1 20 "Times" 
1 12 0 0 255 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Italic" -1 3 "Tim
es" 1 12 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "Popup" -1 31 "Times" 1 
12 0 128 128 1 1 2 1 2 2 2 0 0 0 1 }{CSTYLE "2D Math Symbol 2" -1 16 "
Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Plot Text" -1 28 "Ti
mes" 1 8 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Notes" -1 37 "Time
s" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Bold" -1 39 "Times"
 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Menus" -1 36 "Times" 
1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "2D Comment" -1 18 "Times" 
1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Variable" -1 25 "Couri
er" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Bold Small" -1 
10 "Times" 1 1 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Emphasized" 
-1 204 "Times" 1 12 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "Prompt" -1 
1 "Courier" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{PSTYLE "_pstyle1" -1 
206 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 1 0 0 1 }3 1 
0 0 0 0 2 0 2 0 2 2 -1 1 }{CSTYLE "_cstyle1" -1 205 "Times" 1 12 0 0 
0 1 2 1 2 2 2 2 0 0 0 1 }{PSTYLE "_pstyle2" -1 207 1 {CSTYLE "" -1 -1 
"Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 
1 }{CSTYLE "_cstyle2" -1 206 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 
}{PSTYLE "_pstyle3" -1 208 1 {CSTYLE "" -1 -1 "Courier" 1 12 255 0 0 
1 2 1 2 2 1 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{CSTYLE "_cstyle3
" -1 207 "Courier" 1 12 255 0 0 1 2 1 2 2 1 2 0 0 0 1 }{PSTYLE "_pstyl
e4" -1 209 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 2 2 2 0 0 0 1 }0 0 
0 -1 -1 -1 1 0 1 0 2 2 -1 1 }}
{SECT 0 {EXCHG {PARA 206 "" 0 "" {TEXT 205 22 "Some examples in Maple"
 }{TEXT 205 0 "" }}{PARA 207 "" 0 "" {TEXT 206 260 "Maple has several \+
packages customized for various applications in Mathematics. The packa
ge \"Student\" is one of them. It enables you to do everything you lea
rnt ub Calculus and beyond. It also has several subpackages as you can
 see when you execute the coomand." }{TEXT 206 0 "" }}}{EXCHG {PARA 
208 "> " 0 "" {MPLTEXT 1 207 14 "with(Student);" }{MPLTEXT 1 207 0 "" 
}}}{EXCHG {PARA 207 "" 0 "" {TEXT 206 13 "Try Calculus:" }{TEXT 206 0 
"" }}}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 207 25 "with(Student[Calcu
lus1]);" }{MPLTEXT 1 207 0 "" }}}{EXCHG {PARA 207 "" 0 "" {TEXT 206 
227 "Below is an example of how to compute a definite integral. If you
 want to see what you are computing in the output you need to call the
 comand \"Int\". The command \"Value (%)\" this computes the value of \+
the last executed command." }{TEXT 206 0 "" }}}{EXCHG {PARA 208 "> " 0
 "" {MPLTEXT 1 207 19 "a:=int(x^2,x=0..1);" }{MPLTEXT 1 207 0 "" }}}
{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 207 16 "Int(x^2,x=0..1);" }
{MPLTEXT 1 207 0 "" }}}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 207 9 "va
lue(%);" }{MPLTEXT 1 207 0 "" }}}{EXCHG {PARA 207 "" 0 "" {TEXT 206 
228 "Below is the density of the standard normal distribution. We chec
k that it is a legitimate probability density, and therefore the integ
ral over the entire real line is 1. We then compute its mean (mu) and \+
standard deviation (s)." }{TEXT 206 0 "" }}}{EXCHG {PARA 208 "> " 0 ""
 {MPLTEXT 1 207 35 "f:=x->1/sqrt(2*Pi)*exp(1)^(-x^2/2);" }{MPLTEXT 1 
207 0 "" }}}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 207 32 "Int(f(x),x=-
infinity..infinity);" }{MPLTEXT 1 207 0 "" }}}{EXCHG {PARA 208 "> " 0 
"" {MPLTEXT 1 207 9 "value(%);" }{MPLTEXT 1 207 0 "" }}}{EXCHG {PARA 
208 "> " 0 "" {MPLTEXT 1 207 38 "mu:=int(x*f(x),x=-infinity..infinity)
;" }{MPLTEXT 1 207 0 "" }}}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 207 
39 "s:=int(x^2*f(x),x=-infinity..infinity);" }{MPLTEXT 1 207 0 "" }}}
{EXCHG {PARA 207 "" 0 "" {TEXT 206 205 "The command below just \"tells
\" Maple that sigma is to be considered positive. Then we check that t
he density (f1 below) of a normal variable with mean zero and standard
 deviation sigma is a legitimate pdf." }{TEXT 206 0 "" }}}{EXCHG 
{PARA 208 "> " 0 "" {MPLTEXT 1 207 16 "assume(sigma>0);" }{MPLTEXT 1 
207 0 "" }}}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 207 54 "f1:=x->1/(sq
rt(2*Pi)*sigma)*exp(1)^(-x^2/(2*sigma^2));" }{MPLTEXT 1 207 0 "" }}}
{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 207 41 "b:=int(x^10*f1(x),x=-inf
inity..infinity);" }{MPLTEXT 1 207 0 "" }}}{EXCHG {PARA 208 "> " 0 "" 
{MPLTEXT 1 207 0 "" }}}{EXCHG {PARA 208 "> " 0 "" {MPLTEXT 1 207 0 "" 
}}}{PARA 209 "" 0 "" {TEXT -1 0 "" }}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 
0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }