{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 }
{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 
"" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 
1 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }
{CSTYLE "" -1 261 "" 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 23 "Vector-Valued Functions
" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 82 "The c
ell below illustrates how a vector-valued function can be defined in M
aple.  " }{TEXT 256 16 "Evaluate it now." }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 129 "f := t -> [t - 1, 2
 * t - 1]:\n\nf(1);\n\ng := t -> [cos(t), sin(t)]:\n\ng(Pi);\n\nh := t
 -> [2, 3 * t + 3, 5 * t + 6, 3 * t - 2]:\n\nh(3);" }}}{EXCHG {PARA 0 
"" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 281 "The next cell sh
ows how Maple can graph a vector-valued function whose values are in R
^2.  This particular example shows the travels of a baseball thrown fr
om an intial height of 5 feet with an intial velocity of 30 feet per s
econd horizontally and 30 feet per second vertically.  " }{TEXT 257 
27 "Evaluate the next cell now." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 25 "Notice the syntax in the " }{TEXT 258 4 "
plot" }{TEXT -1 68 " procedure.  The x-coordinate of the baseball's tr
avels is denoted  " }{TEXT 259 14 "baseball(t)[1]" }{TEXT -1 27 "  and
 the y-coordinate by  " }{TEXT 260 14 "baseball(t)[2]" }{TEXT -1 64 ".
  These two coordinates along with the range for the variable  " }
{TEXT 261 1 "t" }{TEXT -1 58 "  are enclosed in square brackets and se
parated by commas." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 125 "baseball := t -> [30 * t, 5 + 30 * t - 16 \+
* t^2]:\n\nplot([baseball(t)[1], baseball(t)[2], t = 0.. 2], scaling =
 CONSTRAINED); " }}}}{MARK "0 0 0" 23 }{VIEWOPTS 1 1 0 1 1 1803 }