Math 166
Fall 2000
Final Exam
a) b)
c)
d)
a) b)
a) What do we call such a sequence?
b) If the sequence converges, what else must also be true?
a)
Find
b)
Find
a) b)
c)
d)
a)
Find the area of the region bounded by and
b) Find the centroid of the region from part a)
c)
Find the volume obtained when the region from a) is spun about
the axis.
d)
Find the volume obtained when the region from a) is spun about
the axis.
a) Sketch this polar curve.
b) Find the total area enclosed by this curve.
10.
(6 pt) Consider
. Suppose that the graph of the 4th derivative of
is pictured below.
How large should
be chosen so that the
error of using
is less than or equal to 1/20?
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