Week In Review #10  Test 3 Review
Covers: Chapter 5 and Chapter 7
♦
This review gives one or two examples from each section. It is NOT a thorough
review by itself, but rather some additional practice problems that you can study along
with your homework and the lecture notes.
♦
The problems in WeekInReview 8, and 9 are also good review problems for the
exam.
Review Problems:
1.
The marginal cost
'( )
Cq
(in dollars per unit) of producing
q
units is given in the following
table.
q
0
100
200
300
400
500
600
25
20
18
22
28
35
45
(a) Interpret
'(400)
C
.
(b) What are the units and meaning of
400
0
Cqd
q
∫
?
(c) Estimate
400
0
q
∫
.
(d) If the fixed cost is $10,000, estimate the total cost of producing 400 units.
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(a) Estimate
dx
x
∫
4
1
using a lefthandsum with
∆
x
= 0.5.
(b) Represent the answer in (a) graphically.
(c) Use a calculator to find the value of
dx
x
∫
4
1
.
(d) Use the Fundamental Theorem of Calculus to find the value of
dx
x
∫
4
1
.
3.
A baseball thrown directly upward at 96 ft/sec has velocity
( )
96 32
vt
t
=
−
ft/sec at time
t
seconds.
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 Spring '08
 Allen
 Addition, Fundamental Theorem Of Calculus, dx

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