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{SECT 0 {EXCHG {PARA 257 "" 0 "" {TEXT 256 12 "MATH 156 F'0" }{TEXT 
261 13 "9\nsample test" }}{PARA 256 "" 0 "" {TEXT 257 18 "Answer 3 que
stions" }{TEXT 258 0 "" }}{PARA 256 "" 0 "" {TEXT 259 81 "Put your nam
e and which 3 questions you want graded at the top of your worksheet.
" }}{PARA 258 "" 0 "" {TEXT -1 59 "\nSome of these commands need with(
student) and with(plots) " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 
"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 280 "1.) a.)   Find the equation
 of the ellipse with center (5,-4), minor axis parallel to the x-axis \+
with length 9 and major axis parallel to the y-axis with length 4.\nb.
)  Draw the graph of this ellipse using  scaling=constrained so that t
he ellipse will maintain its correct shape. " }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 20 "2.)    Let   f(x) = " }
{TEXT -1 42 "tan(x) \na.)  Plot f(x) for the domain  x= " }{XPPEDIT 
18 0 "sqrt(Pi/4) .. sqrt(Pi/3);" "6#;-%%sqrtG6#*&%#PiG\"\"\"\"\"%!\"\"
-F%6#*&F(F)\"\"$F+" }{TEXT -1 3 "   " }}{PARA 0 "" 0 "" {TEXT -1 537 "
\nLet R be the region  bounded above by the the graph you just drew an
d below by the x-axis.  \n b.)  Draw the Riemann rectangles correspond
ing to left sums with n=30.  Is this an overestimate or an underestima
te?\n c.)   Estimate the area of R using left sums with 30 intervals.
\n d.)   Estimate the area of R  using right sums with 30 intervals.\n
 e.)  Estimate the area of R  using the trapezoid method with 30 inter
vals. \n f.)   Find the exact value of the same area using Maple to in
tegrate for you.\n g.)  Which approximation is best?  \n" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 38 "3.)   a)   Find the exact value of    " }
{XPPEDIT 18 0 "Int(sqrt(x+1),x = 3 .. 8);" "6#-%$IntG6$-%%sqrtG6#,&%\"
xG\"\"\"F+F+/F*;\"\"$\"\")" }}{PARA 0 "" 0 "" {TEXT -1 130 "b)  Find t
he smallest value of n for which left hand sums with n subintervals gi
ves an approximation whose error is less than .01." }}{PARA 0 "" 0 "" 
{TEXT -1 29 "c)  Repeat b) using middlesum" }}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 28 "d) Repeat b) using trapezoid" }
}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 94 "
4)  a)  What is the error of approximation when left hand sum with n =
 10 is used to compute  " }{XPPEDIT 18 0 "Int(sin(x),x = 1 .. 4);" "6#
-%$IntG6$-%$sinG6#%\"xG/F);\"\"\"\"\"%" }{TEXT -1 1 "." }}{PARA 0 "" 
0 "" {TEXT -1 29 "b)  Repeat a) using trapezoid" }}{PARA 0 "" 0 "" 
{TEXT -1 85 "c) Use a loop to repeat a) and b) with n= 20,40, 80,160 a
nd 320.  What do you notice?" }}}}{MARK "0 0 1" 13 }{VIEWOPTS 1 1 0 1 
1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }