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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 259 10 "MATH-1850 " }{TEXT -1 3 "
   " }{TEXT 260 18 "COMPUTER PROBLEM 9" }{TEXT -1 56 "     DUE:  Tuesd
ay, November 14, 2000, in your lab class" }}{PARA 0 "" 0 "" {TEXT -1 
17 "\nTeam members:   " }{TEXT 267 54 "(All lines for answers below wi
ll extend as you type.)" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 16 "          (1)   " }{TEXT 261 0 "" }
{TEXT -1 0 "" }{TEXT 264 9 "         " }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 16 "          (2)   " }{TEXT 262 0 "" }
{TEXT -1 0 "" }{TEXT 265 9 "         " }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 16 "          (3)   " }{TEXT 263 0 "" }
{TEXT -1 0 "" }{TEXT 266 9 "         " }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 25 "Score:               / 6\n" }}}{SECT 
1 {PARA 3 "" 0 "" {TEXT 258 33 "INSTRUCTIONS (Click box in front)" }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1192 "
It is strongly suggested that this project be worked in teams (of up t
o 3  persons). Approaches may be discussed among different teams, but \+
each team must write their OWN report.\nREQUIREMENTS OF REPORT:\n- Mat
hematical contents (correctness and completeness) counts most. Solve t
he problems and show all essential calculations (commands and output) \+
and plots. Please do not submit work that is not essential (e.g. check
ing out how the function fplot in Problem 1 works - this may be essent
ial to your understanding, but it s not essential for the reader).\n- \+
Explain the steps you carry out. Explain the approaches/techniques tha
t you use.\n- Add explanations and answer questions where asked to do \+
so. By all means, include additional explanations/observations/conclus
ions that come to your mind! (This could translate to extra credit.)\n
HOW TO SUBMIT THE REPORT\nEach team submits ONE printed copy (stapled)
 by the due date. (Please save the electronic version, as you will be \+
asked to submit that, too, at a future time.)\nYou can print from insi
de your Maple worksheet (choose File/Print or click on the printer but
ton). Set the ZOOM FACTOR to 100% (smallest magnifying glass) before p
rinting.\n" }{TEXT 256 62 "Please remove these instructions before sub
mitting the report." }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "rest
art:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 288 9 "PROBLEM A" }{TEXT -1 80 "
   Find the equation of the tangent line to the graph of the implicit \+
function  " }{XPPEDIT 18 0 "x^2+2*y = x*y^3+154;" "6#/,&*$)%\"xG\"\"#
\"\"\"\"\"\"%\"yGF(,&*&F'F*)F+\"\"$F)F*\"$a\"F*" }{TEXT -1 24 "  at th
e point (5, - 3)." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "
" 0 "" {TEXT -1 50 "(a)  Find the derivative of the implicit function:
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 14 "(b)  Find the " }
{TEXT 300 5 "exact" }{TEXT -1 110 " value of the slope of the tangent \+
line to the graph of the implicit function at the point (5, - 3) using
 the " }{TEXT 301 4 "subs" }{TEXT -1 9 " command:" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 103 "(c)  Find the equation of the tangent li
ne to the graph of the implicit function at the point (5, - 3):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" 
}{TEXT 302 9 "PROBLEM B" }{TEXT -1 6 "  If  " }{TEXT 303 1 "s" }{TEXT 
-1 1 "(" }{TEXT 304 1 "t" }{TEXT -1 4 ") = " }{XPPEDIT 18 0 "2*t^3-7*t
^2+4*t+1;" "6#,**$)%\"tG\"\"$\"\"\"\"\"#*$)F&F)F(!\"(F&\"\"%\"\"\"F." 
}{TEXT -1 86 "  is the position function which gives the position (in \+
meters) of a particle at time " }{TEXT 256 1 "t" }{TEXT -1 102 " (in s
econds), then find the acceleration of the particle at the time(s) whe
n the particle is stopped." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 34 "(a)  Define the position function " }
{TEXT 306 1 "s" }{TEXT -1 20 " using Maple syntax:" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
-1 48 "(b)  Define the instantaneous velocity function " }{TEXT 307 1 
"v" }{TEXT -1 21 " using Maple syntax: " }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 52 "(c
)  Define the instantaneous acceleration function " }{TEXT 308 1 "a" }
{TEXT -1 46 " using Maple syntax and the position function " }{TEXT 
313 1 "s" }{TEXT -1 1 ":" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 97 "(d)  Find the time(s
) when the particle is stopped.  Don't forget to put units on your ans
wer(s)." }}}{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 0 "" }}{PARA 0 "
" 0 "" {TEXT 309 19 "Answer to Part (d) " }{TEXT 310 9 "         " }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 187 "(
e)  Find the acceleration of the particle when it is stopped.  Don't f
orget to put units on your answer(s).  Also, explain the information t
hat the answer(s) give you about the particle." }}}{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 0 "" }{TEXT 311 19 "Answer to Part (e) " }{TEXT 312 9 " \+
        " }}}}{MARK "0 3 3" 4 }{VIEWOPTS 1 1 0 1 1 1803 }