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{
\bf ``QUIZ'' for Lecture 22
}
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{\bf NAME:} (print!) $\underline
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{\quad \bf Section:}
$\underline{\quad\quad\quad}$

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{\bf E-MAIL ADDRESS:} (print!) 
$\underline
{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$
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Evaluate the surface
integral $\int\int_S {\bf F} \cdot d {\bf S}$ for
the given vector field ${\bf F}$ and oriented
surface $S$.
$$
{\bf F}(x,y,z)= 
\langle xy \, , \, yz \, , \, zx \, \rangle \quad,
$$
and $S$ is the part of the paraboloid $z=1-x^2-y^2$ that lies
above the square $0 \leq x \leq 1 \, , \, 0 \leq y \leq 1$
and has upward orientation.


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