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{
\bf ``QUIZ'' for Oct. 26, 2009
}
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{\bf NAME:} (print!) $\underline
{\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
{\quad \bf Section:}
$\underline{\quad\quad\quad}$

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{\bf E-MAIL ADDRESS:} (print!) 
$\underline
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{\bf 1.} 
Use polar coordinates to compute the double
integral
$$
\int \, \int_D xy \, dA \quad ,
$$
where 
$$
D= \{ (x,y) \, \vert \, x^2+y^2 \leq 1 \, , \,
x \geq 0 \, , \, y \geq 0 \, \} \quad .
$$

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{\bf 2.} Evaluate the iterated integral by converting it to polar coordinates
$$
\int_0^1 \, \int_0^{\sqrt{1-y^2}} e^{x^2+y^2} \, dy \, dx 
\quad .
$$


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