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\textbf{Math 225: Calculus III}
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\textbf{Quiz 10}\quad \textsl{December 5, 2002}
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1. Determine whether the vector field
$$\F=\sin(y^2+z^2)\i+(2xy\cos(y^2+z^2)+2)\j+(2xz\cos(y^2+z^2)+2y)\k$$
is conservative.

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2.  Let $S$ be the surface parameterized by
$\r(u,v)=u\cos(v)\i+u\sin(v)\j+u\k$ with $0\le u\le 1$, $0\le v \le 2\pi$.
Compute the surface integral $\iint_S (x+z)\,dS$.

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