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{
\bf ``QUIZ'' for Lecture 24
}
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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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By using Stokes' Theorem, or otherwise, evaluate 
$\int_C {\bf F} \cdot d {\bf r}$, where
$$
F(x,y,z)= (yz+2y+3z){\bf i} + (xz+2x+4z) {\bf j} + (xy+3x+4y) {\bf k} \quad ,
$$
where $C$ is the curve if intersection of the plane $x+y+z=1$
and the cylinder $x^2+y^2=1$, oriented counterclockwise as viewed
from above. Be sure to explain everything.



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