Quiz #14 (5.4-5.6)
Classlb:
Math 1210
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Name: oiu--crnS
008 Fall 2012
becember, 2012
Score
Instructor: Katrina Johnson
Instructions: Complete each problem. Show all of your work as partial credit will be given
where appropriate, and there may be NO credit given for problems without supporting
work All answers should be completely simplified, unless otherwise stated. You may NOT
use a cakulator. You may use a 4x6 or 3x5 index card.
(10 pts) 1. A force of 10 pounds is required to keep u priry iveiched 3 ieei beyond i1 norniol
length. Find the work done in stretching the spring 6 feet beyond its naturol !enth. (bon’t forget
your units.)
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LQ.
Answer 1:
(DO
(10 pts)2. Find the length of the curve x
‘‘ 4,
Answer 2:
c,)
--
=
+2, y =2t
2
t
2 —1, ist4.
i
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o
(10 pts) 3. Find the centroid of the region bounded by the curves, y
=
, y
3
x
=
0, and x
=
1.
=
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()2cL
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t3
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12
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Answer3:
S
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1
(10 pts) 4. Find the area of the surface generated by revolving the given curve about the
x-axis.
x=t, y=t
, 0t1
3
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=>
Ti U
21
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Answer 4:
29
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12.
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