Math 161
Spring 2000
Final Exam
a) b) c) d)
a)
Find
the volume obtained when this curve is revolved about the
b)
Find
the volume obtained when this curve is revolved about the
c)
Find
the surface area obtained when this curve is revolved about the
d)
Find
the centroid of the region.
a) b) c)
a) b) c)
a)
Sketch
the graph and show your work.
b)
Find
the area enclosed by the inner loop of this figure.
a)
Find
a Maclaurin series for
b)
Use
your Maclaurin series to show that
c)
Find
with error less than
or equal to 1/10,000,000.
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