MTH 132 Quiz 1 SOLUTIONS
Sections 7.2 and 7.3 (9/16)
Show all necessary work for full credit. Partial credit will be awarded for
incomplete solutions.
1.[10 points] Find the value of the following improper integral by taking a
limit. If the limit diverges
MTH i32
Test
1
2 Octobet2l4
5)
Use the gaph of the relative rate of growth of a population with f in years to determine the
percentage change in population over 12 years. Be sure to indicate whether increase or decrease.
,1
Pr,
'
7
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J:ro !^(H)
c>24 
MTH
Test
132
1
2 Odober2074
7)
Use the density fi:nction p(t),shown below, to draw the graph of the associated cr:mulative
distribution finction. Note: you must determine &e value of a. In addition, you must put a
scale on the vertical axis for P.
6
Jr!t
Name: LJOX,JTIIL+
MTH 132
Test I
2 October 2014
Problems 1  6 are worth 10 points each. Problem 7 and the Bonus are worth 10 each.
1) Find the antiderivative of f (x)

(2x + 1)3.
(.f . Zx vl
t,ft .'/+
J. \J.cfw_
3
lr1  L'd
2) Find an antiderivative
MTH 132 Practice Exam II
Due Monday, Nov. 22
1. For each the following functions, draw the crosssections of the function
with x xed, x = 0, 1, 2, and for y xed, y = 0, 1, 2
(a) f (x, y ) = 2x + y
(b) g (x, y ) = x2 + y 2 + 6x + 9
(c) h(x, y ) = 2x2 2y
1
Integration by Parts Homework
Due Wednesday, 9/23
Find the antiderivatives using integration by parts.
v du = uv
udv
xex dx
SOLUTION:
Let f (x) = x, df = 1dx, dg = ex dx, and g (x) = ex . Then
xex dx = xex
ex dx = xex ex + C
(x3 + 3x2 )ln(x)dx
SOLUTION:
MTH 132 Quiz 4 SOLUTIONS
Sections 9.19.2
1. [10 points] A manufacturer Hard Hats produces football helmets and motorcycle helmets. If football helmets sell for $75 and motorcycle helmets sell for
$150, determine the manufacturers revenue R as a function
Interpreting multiple variables
graphically
If we consider the concentration s of a drug in the blood stream t hours after
a dosage of x mg as a function of both x and t, we can get basic information
about s by looking at the crosssections.
The following
MTH 132 Practice Exam I
Due 10/4
Show all neccessary work for full credit. You may work on a separate piece of
paper if you prefer, but make sure to submit all additional pages.
Evaluate each improper integral. If the integral does not exist, write does n
MTH 132 Quiz 2
Friday, 9/24
1.[10 points] Find a value for the constant k so that the function
0
x<0
p(x) = kx 0 x 4
0
x>4
is a probability density.
SOLUTION:
In order for p(x) to be a density, it must be nonnegative and it must integrate
to 1. It will b
kslL
F( b; 
 \2. t 9+L
MTH 132
Quiz3 i
"(o.)=
F.T.c
T Ftx\a.(>.
G^
;r*^ *roJ u^", A'l\4"leat,
a<_dxts \arqcjrncF k,
,
26 September2014
1) Using the grap! of F'(r)
i
and the fact that
F(0) = 2, complete the table for values of F.
.,,
I F'i+r i
l
I
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