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{SECT 0 {SECT 0 {PARA 3 "" 0 "" {TEXT -1 19 "3 Ways to Use Maple" }}
{PARA 0 "" 0 "" {TEXT -1 46 "We have seen at least three ways to use M
aple:" }}{PARA 15 "" 0 "" {TEXT 270 23 "As a calculator: Maple " }
{TEXT -1 66 "can compute expressions such as \"10.3 * (4.3 - 1.2) / (1
.2 - 2.1)\"" }}{PARA 15 "" 0 "" {TEXT 269 25 "As a function evaluator:
 " }{TEXT -1 93 "Maple can be used to define a function and evaluate i
t at various points, including variables" }}{PARA 15 "" 0 "" {TEXT 
268 19 "As a graphing tool:" }{TEXT -1 36 " Maple can be used to plot \+
equations" }}{PARA 0 "" 0 "" {TEXT -1 139 "In each case, you enter wha
t you want Maple to do, followed by a \"semicolon\" and press ENTER to
 get Maple to attempt to do what you asked. " }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 229 "But first take a look at the f
ollowing examples - click on the \"plus\" signs to expand/collapse the
 sections if necessary; when you see a line in 'red', put the cursor i
n that line and hit \"ENTER\" to evaluate the 'red' expression." }}
{SECT 1 {PARA 4 "" 0 "" {TEXT -1 21 "Maple as a Calculator" }}{PARA 0 
"" 0 "" {TEXT -1 260 "Maple can be a convenient calculator where you c
an enter your computations all at once, including mathematical functio
ns such as 'sin' and 'cos', and any level of parenthesis. Then Maple w
ill evaluate the expression, following the standard order of precedenc
e." }}{EXCHG {PARA 0 "" 0 "" {TEXT 266 9 "Example: " }{TEXT -1 115 "th
e following line evaluates \"10.3 * (4.3 - 1.2) / (1.2 - 2.1)\" when y
ou put the cursor in that line and hit ENTER:" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "10.3 * (4.3 - 1.2) \+
/ (1.2 - 2.1);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}
{SECT 1 {PARA 4 "" 0 "" {TEXT -1 26 "Maple a Function Evaluator" }}
{PARA 0 "" 0 "" {TEXT -1 202 "You can define a real function in Maple \+
using, for example, the syntax \"f := x -> x^2 + 3*x - 1\". Maple can \+
then evaluate the function at various numbers, or even at other expres
sion such as f(a + 2*h)." }}{EXCHG {PARA 0 "" 0 "" {TEXT 273 9 "Exampl
e: " }}{PARA 0 "" 0 "" {TEXT -1 259 "The next lines define a function \+
f(x) = x^2 - 2 and evaluate that function at different points (note th
at the 'arrow' symbol is really a 'minus sign' and a 'greater than' si
gn). Again put your cursor in the 'red' line(s) and hit ENTER to execu
te the commands." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "f := x -> x^2 -
 2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "f(0);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "f(3);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 5 "f(t);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "(f
(x+h) - f(x-h) ) / h;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 284 6 "Note: " 
}{TEXT -1 244 "The above example simplifies: Evaluate the expression (
but your cursor in the 'red' line and hit 'ENTER', then highlight the \+
'blue' expression, right-click, and select \"simplify\" to see the sim
plified expression (which should simplify to '4x')." }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 24 
"Maple as a Graphing Tool" }}{PARA 0 "" 0 "" {TEXT -1 218 "Maple can b
e used to quickly graph a function (it generates a table and draws the
 points quickly). You can specify the function, or the function and th
e domain, or even the function, the domain, and the intended range." }
}{EXCHG {PARA 0 "" 0 "" {TEXT 277 9 "Example: " }{TEXT -1 320 "To plot
, say, the function f(x) = 2*x + 3, you first enter the expression on \+
the right of the equal sign, press ENTER, then highlight the 'blue' ex
pression and select \"Plots | 2D Plot\". Try it now, first put your cu
rsor on the 'red' line, then hit ENTER. Then highlight the 'blue' expr
ession to select \"Plots | 2D Plot\"." }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "2*x+3;" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 190 "Alternatively, you can type in the expression \"plot(2
*x + 3, x = -10..10)\", specifying the domain of the function. When yo
u hit ENTER, you again see the graph, using the domain you specified" 
}}{PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "plot(2*x+3, x=-10..10);" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 117 "Finally, you could specify the fu
nction, the domain, and the intended range in one line, as in the foll
owing example:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "plot(3*x^2 + 1, x
 = -3..3, 0..10);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 11 "
Assignment:" }}{PARA 0 "" 0 "" {TEXT -1 51 "1. Use Maple to evaluate t
he following expressions:" }}{PARA 14 "" 0 "" {TEXT -1 44 "4.3 - ((2.3
 + 33.1) - (-1.34 / 2.44 + 1.22))" }}{PARA 14 "" 0 "" {TEXT -1 25 "sin
(10.3)^2 + cos(10.3)^2" }}{PARA 14 "" 0 "" {TEXT -1 47 "sin(3.1415)*(1
0 - 4) + cos(3.1415)*(10.9 / 9.1)" }}{PARA 0 "" 0 "" {TEXT -1 73 "2. U
se Maple to evaluate the following functions at the indicated points:
" }}{PARA 14 "" 0 "" {TEXT -1 41 "f(x) = 2*x^2 - 7 at x = 4.1 and x = \+
-3.14" }}{PARA 14 "" 0 "" {TEXT -1 59 "f(x) = 4*x^3 - 2*x + 3 at x = a
 + h (make sure to simplify)" }}{PARA 14 "" 0 "" {TEXT -1 73 "f(x) = x
^2 - x + 1 find (f(a + h) - f(a + h) / h) (make sure to simplify)" }}
{PARA 0 "" 0 "" {TEXT -1 45 "3. Use Maple to plot the following functi
ons:" }}{PARA 14 "" 0 "" {TEXT -1 15 "f(x) = 1/3x - 2" }}{PARA 14 "" 
0 "" {TEXT -1 20 "f(x) = 2*x^2 - x + 1" }}{PARA 14 "" 0 "" {TEXT -1 
30 "f(x) = x^2 * sin(x) - cos(x)^2" }}{PARA 0 "" 0 "" {TEXT 281 153 "D
o all problems , starting at the 'black' prompt below, then print out \+
the worksheet. Make sure to write your name on the worksheet before tu
rning it in." }{TEXT -1 0 "" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}}{MARK "0 9" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
{PAGENUMBERS 0 1 2 33 1 1 }