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\leftline{Mathematics 241 -- Multivariable Calculus}
\leftline{Quiz 9 -- December 10, 2010}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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A.  (10)  Set up (but do not evaluate) the triple integral of 
$f(x,y,z) = y$ over the hemisphere 
$H = \{(x,y,z) \mid x^2 + y^2 + z^2 \le 25, y \ge 0\}$
using {\it spherical} coordinates.
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B.  (10) Evaluate the line integral $\int_\alpha F\cdot T\ ds$
where $\alpha$ is the unit circle centered at $(0,0)$, traversed
counterclockwise, and $F(x,y) = (-x,y+x)$.  Any legal method is OK.
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