Math 166
Summer 2002
Final Exam
a) b)
c)
a) b)
where
for all
a) b)
c)
a) Find the area enclosed by this ellipse (does your answer make sense?).
b)
Find for the upper half of this ellipse (the
coordinate of the centroid of the upper half of this
ellipse).
c)
Find the volume of ellipsoid obtained by revolving the upper
half of this ellipse about the axis (does your answer make sense?).
a) Sketch the graph of the equation.
b)
Find the area outside but inside the circle
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