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\textbf{Math 225: Calculus III}
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\textbf{Quiz 8}\quad \textsl{April\ 2/4, 1996}
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\item 
Compute the Jacobian determinant $\frac{\partial(x,y)}{\partial(u,v)}$ for the
change of variables $u = x y$ and $v = x/y$ where $x > 0$ and $y > 0$.
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\item 
 Find the volume of the portion of the solid sphere
$x^2 + y^2 + z^2 \le 4$ that lies above the upper nappe of the cone
$z^2 = x^2 + y^2$.
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