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{\bf Math 165: Honors Calculus I}
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{\bf Quiz 10}\quad {\sl Dec.\ 2, 1999}

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\item Give a precise statement of the \textsc{Chain Rule}.

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\item Find the equation of the line tangent to the curve defined by
\[
\sin(\pi xy) = \cos(\pi(x-y))
\]
at the point $(2,1/2)$.

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\item
Douglas and Grape roads intersect perpendicularly.  At 1~p.m.\ a red
car is .4~miles north of the intersection travelling south on Grape
at 35~mph. At the same moment, a blue car is .3~miles east of the
intersection on Douglas travelling west at 25~mph. Determine how fast
the distance between the cars is changing at 1~p.m.

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