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{\bf Math 225 : Quiz\hfill Nov.\ 22, 1991}

Show your work and circle your final answer.

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1. Let $R$ be the region bounded by 
$$y = x, \quad xy = 2, \quad x y^3 = 1$$
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Rewrite
the integral $\iint_R x^2 y^2\, dA$ as an iterated integral in the variables
$u = x y$ and $v = x/y$ (do not evaluate).

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2. Let $\F(x,y) = x^2 y \i + y^3 z \j + z^4 x \k$.

Compute $\div \F$.


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