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\textbf{Math 225: Calculus III}
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\textbf{Quiz 9}\quad \textsl{November 20, 2003}
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1. Use the Fundamental Theorem of Line Integrals to compute $\int_\CC
\F\cdot d\r$ where\newline
$\F=\langle e^x\sin(y)+2z, e^x\cos(y), 2x\rangle$ and $\CC$ is the curve
parameterized by\newline
$\r(t) = \langle1+\tan(t),t,1\rangle$, $0 \le t \le \pi/4$.

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2.  Use Green's Theorem to compute $\int_C \frac{y}{x+2}\,dx +
(x+\ln(x+2))\,dy$ where $\CC$ is the positively oriented circle $x^2+y^2 =
1$.

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