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{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 259 10 "MATH-1850 " }{TEXT -1 1 "
 " }{TEXT 260 18 "COMPUTER PROBLEM 2" }{TEXT -1 54 "  DUE:  Tuesday, S
eptember 12, 2000, in your lab class" }}{PARA 0 "" 0 "" {TEXT -1 17 "
\nTeam members:   " }{TEXT 266 54 "(All lines for answers below will e
xtend 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 263 9 "         " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 16 "          (2)   " }{TEXT 264 9 "         \+
" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 16 "     \+
     (3)   " }{TEXT 262 0 "" }{TEXT -1 0 "" }{TEXT 265 9 "         " }
}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 25 "Score:  \+
             / 6\n" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT 258 13 "INSTRUCTI
ONS " }{TEXT 257 20 "(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 to 3  persons). Approaches
 may be discussed among different teams, but each team must write thei
r OWN report.\nREQUIREMENTS OF REPORT:\n- Mathematical contents (corre
ctness and completeness) counts most. Solve the problems and show all \+
essential calculations (commands and output) and plots. Please do not \+
submit work that is not essential (e.g. checking out how the function \+
fplot in Problem 1 works - this may be essential to your understanding
, but it s not essential for the reader).\n- Explain the steps you car
ry out. Explain the approaches/techniques that you use.\n- Add explana
tions and answer questions where asked to do so. By all means, include
 additional explanations/observations/conclusions that come to your mi
nd! (This could translate to extra credit.)\nHOW TO SUBMIT THE REPORT
\nEach team submits ONE printed copy (stapled) by the due date. (Pleas
e save the electronic version, as you will be asked to submit that, to
o, at a future time.)\nYou can print from inside your Maple worksheet \+
(choose File/Print or click on the printer button). Set the ZOOM FACTO
R to 100% (smallest magnifying glass) before printing.\n" }{TEXT 256 
62 "Please remove these instructions before submitting the report." }}
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 276 "A farmer wishes to fence a rectangular pasture
 with a total area of 1000 square yard, and he wants to divide it into
 two parts with a fence across the middle.  Fencing around the outside
 costs $5.00 per yard, but he can use less expensive fence at $2.00 pe
r yard as a divider." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 
0 "" 0 "" {TEXT -1 72 "(a)  Express the cost of this enclosure as a fu
nction of one variable.  " }{TEXT 267 138 "(Write your function on the
 provided answer line below.  However, attach a diagram of the enclosu
re and your work to obtain the function.)" }{TEXT -1 0 "" }}{PARA 0 "
" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 6 "      " }{TEXT 268 
19 "Answer to Part (a) " }{TEXT 269 7 "       " }{TEXT -1 4 "    " }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 70 "(b
)  Define the function in Part (a) as a function using Maple syntax." 
}}{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 0 "" }}{PARA 0 "" 0 "" {TEXT -1 37 "(c)  Grap
h your function in Part (b)." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 11 "(d)  Since " }{TEXT 271 
1 "x" }{TEXT -1 22 " is a dimension, then " }{TEXT 272 1 "x" }{TEXT 
-1 45 " > 0.  Plot the graph for positive values of " }{TEXT 273 1 "x
" }{TEXT -1 68 " which will show the decreasing and increasing natural
 of the graph." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 225 "(e)  Your graph in Part (d) above has a \+
local minimum point where the graph of the function changes from decre
asing to increasing.  Obtain a graph of the function which better show
s the local minimum point by restricting the " }{TEXT 274 1 "x" }
{TEXT -1 8 " and/or " }{TEXT 275 1 "y" }{TEXT -1 8 " values." }}{PARA 
0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" 
}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 
135 "(f)  Using your graph in Part (e) above, find the approximate dim
ensions of the rectangular region which will result in the least cost.
" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 276 33 "      Answer to Pa
rt (f)  Length " }{TEXT 277 3 "   " }{TEXT 280 5 "     " }}{PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 33 "                    \+
             " }{TEXT 278 12 "      Width " }{TEXT 279 8 "        " }
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "
" {TEXT -1 124 "(g)  Using your graph in Part (e) above, find the appr
oximate cost of fencing for the rectangular region in Part (f) above.
\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }{TEXT 282 25 "      Answer to Part (g) " }{TEXT 283 4 "    " 
}{TEXT 284 4 "    " }}}}{MARK "0 3 3" 5 }{VIEWOPTS 1 1 0 1 1 1803 }