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\textbf{Math 225: Calculus III}
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\textbf{Quiz 8}\quad \textsl{Apr. 1/3, 1997}
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\begin{enumerate}
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\item 
Set up a triple integral in cylindrical coordinates that gives the
integral of the function $f(x,y,z) = x y$ over the solid region
between the paraboloid $2x^2 + y^2 + z = 8$ and the parabolic sheet $z =
y^2$. (Do not evaluate the integral).

\answerspace

\problemspace
\item 
Set up a triple integral in spherical coordinates that gives the integral
of the function $f(x,y,z) = x y$ over the solid region inside the sphere
$x^2 + y^2 + z^2 = 9$ below the $xy$-plane. (Do not evaluate the integral).
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