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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 259 10 "MATH-1850 " }{TEXT -1 3 "
   " }{TEXT 260 18 "COMPUTER PROBLEM 4" }{TEXT -1 55 "   DUE:  Tuesday
, September 26, 2000, in your lab class" }}{PARA 0 "" 0 "" {TEXT -1 
17 "\nTeam members:   " }{TEXT 268 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 265 9 "         " }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 16 "          (2)   " }{TEXT 262 0 "" }
{TEXT -1 0 "" }{TEXT 266 9 "         " }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 16 "          (3)   " }{TEXT 263 0 "" }
{TEXT -1 0 "" }{TEXT 267 9 "         " }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 25 "Score:               / 6\n" }}}{SECT 
1 {PARA 3 "" 0 "" {TEXT 258 13 "INSTRUCTIONS " }{TEXT 257 20 "(Click b
ox 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 to 3  persons). Approaches may be discussed among diff
erent teams, but each team must write their OWN report.\nREQUIREMENTS \+
OF REPORT:\n- Mathematical contents (correctness and completeness) cou
nts most. Solve the problems and show all essential calculations (comm
ands and output) and plots. Please do not submit work that is not esse
ntial (e.g. checking out how the function fplot in Problem 1 works - t
his may be essential to your understanding, but it s not essential for
 the reader).\n- Explain the steps you carry out. Explain the approach
es/techniques that you use.\n- Add explanations and answer questions w
here asked to do so. By all means, include additional explanations/obs
ervations/conclusions that come to your mind! (This could translate to
 extra credit.)\nHOW TO SUBMIT THE REPORT\nEach team submits ONE print
ed 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 ca
n print from inside your Maple worksheet (choose File/Print or click o
n the printer button). Set the ZOOM FACTOR to 100% (smallest magnifyin
g glass) before printing.\n" }{TEXT 256 62 "Please remove these instru
ctions before submitting the report." }}}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 53 "Use t
he Intermediate Value Theorem (IVT) to find one " }{TEXT 269 8 "positi
ve" }{TEXT -1 27 " solution of the equation  " }{XPPEDIT 18 0 "x^2-9 =
 cos(2*x);" "6#/,&*$%\"xG\"\"#\"\"\"\"\"*!\"\"-%$cosG6#*&F'F(F&F(" }
{TEXT -1 35 "  accurate to seven decimal places." }}}{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 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 48 "(a)  Justification for being able to appl
y IVT: " }{TEXT 264 9 "         " }{TEXT -1 2 " ." }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 207 "(b)  By graphing \+
the function, find an interval of length 0.00001 which contains a posi
tive solution (root) to the equation.  (Note:  It may take several gra
phs to find the interval of length 0.00001.  Show " }{TEXT 270 5 "thre
e" }{TEXT -1 34 " graphs to get to this interval. )" }}}{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 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 308 "(c)  Starting with your
 interval of length 0.00001 from Part (b) above, apply the IVT to obta
in smaller and smaller intervals, which contain the positive solution \+
(root) to the equation, until you find an approximation to the positiv
e solution (root) of the equation which is correct to seven decimal pl
aces." }}}{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 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 3 3" 4 }{VIEWOPTS 1 1 0 1 
1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }