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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 54 "Clipper Calculus  Written Assignment 1\nDue Februa
ry 20" }}{PARA 0 "" 0 "" {TEXT -1 7 "\nNAME:\n" }}{PARA 0 "" 0 "" 
{TEXT -1 61 "Please read the Maple handouts.  Please save your work of
ten." }}{PARA 0 "" 0 "" {TEXT -1 69 "Insert text (press F5), input pro
mpts (click on the prompt icon [>), " }}{PARA 0 "" 0 "" {TEXT -1 23 "a
nd space as needed.\n \n" }{TEXT 256 55 "Execute the following before \+
beginning this assignment:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "with(
student):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 65 "Some useful commands
 (see the MAPLE Demonstration 1 for examples)" }}{PARA 0 "" 0 "" 
{TEXT -1 65 "f:=x->x^2                            create the function \+
f(x)=x^2" }}{PARA 0 "" 0 "" {TEXT -1 62 "plot(f(x),x)                 \+
         sketch the graph of f(x)" }}{PARA 0 "" 0 "" {TEXT -1 74 "plot
(f(x),x=a..b)                 sketch the graph of f(x)  for x in [a,b]
" }}{PARA 0 "" 0 "" {TEXT -1 84 "plot(f(x),x=a..b,y=c..d)    sketch th
e graph of y=f(x) for x in [a,b] and y in [c,d]" }}{PARA 0 "" 0 "" 
{TEXT -1 85 "plot([f(x),g(x)],x)              sketch the graphs of f(x
) and g(x) in the same plane" }}{PARA 0 "" 0 "" {TEXT -1 78 "plot([f(x
),g(x)],x=a..b)     sketch the graphs of f(x) and g(x) for x in [a,b]
" }}{PARA 0 "" 0 "" {TEXT -1 71 "solve(f(x)=0,x)                   sym
bolically solve the equation for x" }}{PARA 0 "" 0 "" {TEXT -1 91 "fso
lve(f(x)=0,x)                 numerically solve for x                 \+
                  " }}{PARA 0 "" 0 "" {TEXT -1 67 "fsolve(f(x)=0,x=a..
b)        numerically solve for x in [a,b]      " }}{PARA 0 "" 0 "" 
{TEXT -1 68 "evalf(expression)              numerically approximate to
 ten digits" }}{PARA 0 "" 0 "" {TEXT -1 65 "evalf(expression,n)       \+
    numerically approximate to n digits" }}{PARA 0 "" 0 "" {TEXT -1 0 
"" }}{PARA 258 "" 0 "" {TEXT -1 65 "NOTE:  When writing decimals,  inc
lude a digit to the left of the" }}{PARA 258 "" 0 "" {TEXT -1 67 "deci
mal point.   In other words, write 0.5 not .5 for five tenths. " }}
{PARA 258 "" 0 "" {TEXT -1 30 "This will avoid some problems." }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 73 "P
roblem 1. A.  Execute the following command to define the function f(x
):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "f:=x->x*(((x-1)^2)^(1
/3)*(sin(1/(x-1)))+(0.1)*(x-1)+0.1);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 70 "B.  Use Maple to plot the  grap
h of f(x) (the command is given below)." }}{PARA 0 "" 0 "" {TEXT -1 0 
"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "plot(f(x),x);" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 61 "C.
  Now plot the graph over a small interval containing x=1. " }}{PARA 
0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 77 "D.  Explain why the picture is bad near x=1; especially
 over a small interval" }}{PARA 0 "" 0 "" {TEXT -1 30 "(type your expl
anation below):" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 21 "End of the Assignment" }}{PARA 0 "" 0 "" {TEXT -1 0 
"" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}}{MARK "16" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
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