Math 2b: Midterm Sample Worksheet Page 4
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1
2
3
4
5y x 1
y 0
x 5
5. a) (5 points) Find the area of the region bounded by
,
, and
.
b) (10 points) Find the volume of the solid generated by revolving the region described in part a
y 3
about
.
c) (10 points) Find the volume of the solid whose is base is the region described in part a and
whose cross-sections perpendicular to the y-axis are squares with side lying in the xy-plane.
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