Math 2260 HW #3
Due 10:10 AM Friday, January 25
Reading: Hass §6.3–6.4
Problems: Do the assignment “HW3” on WebWork. In addition, write up solutions to the
following problems and hand in your solutions in class on Friday.
1. Consider the following region:
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y ‡ x2
y‡2x
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(a) What is the volume of the solid generated by revolving this region around the x-axis?
(b) What is the volume of the solid generated by revolving this region around the y-axis?
2. Suppose an ant travels along the floor on a path which can be closely approximated by the
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curve x = y3 + 4y
from y = 1 to y = 3:
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The ant keeps track of the distance he walks in an exercise journal. Assuming all lengths are
in centimeters, what distance should the ant put down for this journey?
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