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padilla (tp5647) – Review Exam 3 – Fouli – (58320)
1
This printout should have 33 questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
be±ore answering.
001
10.0 points
A rectangle is inscribed between the
y
axis
and the parabola
y
2
= 48

x
as shown in
Determine the maximum possible area,
A
max
,
o± the rectangle.
1.
A
max
= 259 sq. units
2.
A
max
= 257 sq. units
3.
A
max
= 258 sq. units
4.
A
max
= 256 sq. units
5.
A
max
= 255 sq. units
002
10.0 points
Circuit City has been selling 80 television
sets a week at $660 each. A market survey
indicates that ±or each $30 rebate o²ered to
a buyer, the number o± sets sold will increase
by 5 per week.
How large a rebate should Circuit City o²er
a buyer in order to maximize its revenue?
1.
rebate = $100
2.
none o± these
3.
rebate = $95
4.
rebate = $90
5.
rebate = $105
6.
rebate = $110
003
10.0 points
Use Newton’s method to estimate the solu
tion to
e
3
x
+
x
=
9
5
starting with the initial guess
x
0
= 0 and
applying one iteration.
1.
estimate =
1
5
2.
estimate = 0
3.
estimate =
3
10
4.
estimate =
1
10
5.
estimate =

1
10
004
10.0 points
Find the value o±
f
(0) when
f
′′
(
t
) = 4(3
t
+ 2)
and
f
′
(1) = 4
,
f
(1) = 3
.
1.
f
(0) = 7
2.
f
(0) = 4
3.
f
(0) = 6
4.
f
(0) = 5
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2
5.
f
(0) = 8
005
10.0 points
Which of the following functions will fail to
have an inverse?
1.
2
4

2

4
2
4

2

4
2.
2
4

2

4
2
4

2

4
3.
2
4

2

4
2
4

2

4
4.
2
4

2

4
2
4

2

4
5.
2
4

2

4
2
4

2

4
006
10.0 points
Find the inverse of
f
(
x
) =
1 + 7
x
3

4
x
.
1.
f
−
1
(
x
) =
3
x

1
4
x
+ 7
2.
f
−
1
(
x
) =
3
x
+ 1
4
x
+ 7
3.
f
−
1
(
x
) =
3
x
+ 1
7
x
+ 4
4.
f
−
1
(
x
) =
7
x

1
4
x
+ 3
5.
f
−
1
(
x
) =
3
x

1
7
x
+ 4
007
10.0 points
When
g
is the inverse of
f
(
x
) =
x
3
+ 3
x

2
,
±nd the value of
g
′
(2).
(
Hint
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This note was uploaded on 09/09/2009 for the course CH 302 taught by Professor Mccord during the Spring '09 term at University of TexasTyler.
 Spring '09
 MCCORD

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