Quiz #13 (5.2 & 5.3)
Classlb:
Math 1210
-
-
November 27, 2012
Score
Instructor: Katrina Johnson
Name: Sc,\unbr
008 Fall 2012
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
wcrk 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 each) 1. For this problem, just set up the following volume integrals. (You do NOT
need to evaluate the integrals.)
a) Find the volume integral for the solid generated by revolving about the x-axis the
region bounded by y=.x2+2, x=1, y=0,and x=3.
“C ‘4-2
3
Answer 2a:
b) Find the volume integral for the solid generated by revolving about the x-axis the
region bounded by x
2 = y —5, 3y —x —4=0, x = —2, and x = 3.
‘-s
3
()2
Answer
2b:
-
(+‘
x
c) Find the volume integral for the solid generated by revolving about the y-axis the region
—3x.
2
bounded by y=2x and y=x
2c
.,‘
(x
-
0
)
2
Answer2c:
2
1’
-
(3%)] x
S
)(
\
-i-Sc
2.
chc.
a
d) Find the volume integral for the solid generated by revolving about the x-axis the
.
2
region bounded by y=-&, x=O, ys
21rj 2
j
(j
)
2
Answer2d: