{VERSION 4 0 "IBM INTEL NT" "4.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 
0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 256 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
257 "" 1 12 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 1 12 0 
0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 
0 0 0 0 1 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 
262 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 263 "" 0 1 0 0 
0 0 0 0 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 0 1 0 0 0 
0 0 0 1 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }
{CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 
267 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 268 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 }
{CSTYLE "" -1 271 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }{CSTYLE "" -1 
272 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 273 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 0 1 1 0 0 0 
0 0 0 1 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 }
{CSTYLE "" -1 276 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
277 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 278 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 279 "" 1 12 0 0 0 0 0 1 0 0 0 
0 0 0 0 1 }{CSTYLE "" -1 280 "" 1 12 0 0 0 0 0 1 1 0 0 0 0 0 0 1 }
{CSTYLE "" -1 281 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 }{PSTYLE "Normal
" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }0 0 0 
-1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 
"" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }1 0 0 0 8 4 0 0 0 0 0 0 -1 0 }}
{SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 259 10 "MATH-1850 " }{TEXT -1 1 "
 " }{TEXT 260 18 "COMPUTER PROBLEM 3" }{TEXT -1 54 "  DUE:  Tuesday, S
eptember 19, 2000, in your lab class" }}{PARA 0 "" 0 "" {TEXT -1 17 "
\nTeam members:   " }{TEXT 267 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 264 9 "         " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 16 "          (2)   " }{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 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 "" {MPLTEXT 1 0 13 "Digits := 50:" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 10 "1.  Find  " }{XPPEDIT 18 
0 "Limit((10*x^3+47*x^2+54*x+9)/(6*x^3-x^2-42*x+45),x = -3);" "6#-%&Li
mitG6$*&,**&\"#5\"\"\"*$%\"xG\"\"$F*F**&\"#ZF**$F,\"\"#F*F**&\"#aF*F,F
*F*\"\"*F*F*,**&\"\"'F**$F,F-F*F**$F,F1!\"\"*&\"#UF*F,F*F:\"#XF*F:/F,,
$F-F:" }{TEXT -1 25 "  by doing the following:" }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1 " " }}{PARA 0 "" 0 
"" {TEXT -1 29 "   (a)  Write the expression " }{XPPEDIT 18 0 "(10*x^3
+47*x^2+54*x+9)/(6*x^3-x^2-42*x+45);" "6#*&,**&\"#5\"\"\"*$%\"xG\"\"$F
'F'*&\"#ZF'*$F)\"\"#F'F'*&\"#aF'F)F'F'\"\"*F'F',**&\"\"'F'*$F)F*F'F'*$
F)F.!\"\"*&\"#UF'F)F'F7\"#XF'F7" }{TEXT -1 39 "  as a function f using
 Maple syntax.  " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 33 "  \+
 (b)  Look at the values of  f(" }{TEXT 268 1 "x" }{TEXT -1 5 ") as " 
}{XPPEDIT 18 0 "x" "6#%\"xG" }{TEXT -1 53 " approaches - 3 from values
 that are larger than - 3." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
-1 33 "   (c)  Look at the values of  f(" }{TEXT 256 1 "x" }{TEXT -1 
5 ") as " }{XPPEDIT 18 0 "x" "6#%\"xG" }{TEXT -1 54 " approaches - 3 f
rom values that are smaller than - 3." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 69 "   (d)  From \+
your answers in Parts (b) and (c), what do you think is " }{XPPEDIT 
18 0 "Limit((10*x^3+47*x^2+54*x+9)/(6*x^3-x^2-42*x+45),x = -3)" "6#-%&
LimitG6$*&,**&\"#5\"\"\"*$%\"xG\"\"$F*F**&\"#ZF**$F,\"\"#F*F**&\"#aF*F
,F*F*\"\"*F*F*,**&\"\"'F**$F,F-F*F**$F,F1!\"\"*&\"#UF*F,F*F:\"#XF*F:/F
,,$F-F:" }{TEXT -1 3 "  ?" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}
{PARA 0 "" 0 "" {TEXT 269 28 "        Answer for Part (d) " }{TEXT 
270 11 "           " }{TEXT 271 0 "" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 
"" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 14 "   (e)  Find  " }
{XPPEDIT 18 0 "Limit((10*x^3+47*x^2+54*x+9)/(6*x^3-x^2-42*x+45),x = -3
)" "6#-%&LimitG6$*&,**&\"#5\"\"\"*$%\"xG\"\"$F*F**&\"#ZF**$F,\"\"#F*F*
*&\"#aF*F,F*F*\"\"*F*F*,**&\"\"'F**$F,F-F*F**$F,F1!\"\"*&\"#UF*F,F*F:
\"#XF*F:/F,,$F-F:" }{TEXT -1 41 "  using the Maple command to find lim
its." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 
"" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 272 0 "" 
}{TEXT -1 7 "       " }{TEXT 273 20 "Answer for Part (e) " }{TEXT 274 
12 "            " }{TEXT 275 0 "" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" 
{TEXT -1 10 "2.  Find  " }{XPPEDIT 18 0 "Limit(sin(x)/x,x = 0);" "6#-%
&LimitG6$*&-%$sinG6#%\"xG\"\"\"F*!\"\"/F*\"\"!" }{TEXT -1 26 "   by do
ing the following:" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 
"" 0 "" {TEXT -1 30 "   (a)  Write the expression  " }{XPPEDIT 18 0 "s
in(x)/x;" "6#*&-%$sinG6#%\"xG\"\"\"F'!\"\"" }{TEXT -1 39 "  as a funct
ion g using Maple syntax.  " }{TEXT 276 112 "Note:  Watch your Maple s
yntax for writing the sine function.  You will need parentheses around
 the variable of " }{TEXT 277 1 "x" }{TEXT 278 1 "." }{TEXT -1 2 "  " 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 33 "   (b)  Look at the val
ues of  g(" }{TEXT 257 1 "x" }{TEXT -1 5 ") as " }{XPPEDIT 18 0 "x" "6
#%\"xG" }{TEXT -1 49 " approaches 0 from values that are larger than 0
." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 33 "   (c)  Look at the \+
values of  g(" }{TEXT 256 1 "x" }{TEXT -1 5 ") as " }{XPPEDIT 18 0 "x
" "6#%\"xG" }{TEXT -1 50 " approaches 0 from values that are smaller t
han 0." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 70 "   (d)  From your answers in Parts (b) and (c),
 what do you think is  " }{XPPEDIT 18 0 "Limit(sin(x)/x,x = 0)" "6#-%&
LimitG6$*&-%$sinG6#%\"xG\"\"\"F*!\"\"/F*\"\"!" }{TEXT -1 4 "   ?" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 258 8 "  \+
      " }{TEXT 279 20 "Answer for Part (d) " }{TEXT 280 10 "          \+
" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 
0 "" {TEXT -1 14 "   (e)  Find  " }{XPPEDIT 18 0 "Limit(sin(x)/x,x = 0
);" "6#-%&LimitG6$*&-%$sinG6#%\"xG\"\"\"F*!\"\"/F*\"\"!" }{TEXT -1 41 
"  using the Maple command to find limits." }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 
"" 0 "" {TEXT -1 7 "       " }{TEXT 262 20 "Answer for Part (e) " }
{TEXT 281 12 "            " }}}}{MARK "0 3 3" 5 }{VIEWOPTS 1 1 0 1 1 
1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }