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{\bf Math 225 : Quiz\hfill Oct 7, 1991}

Show your work on a blank sheet of paper with your name and date at the top
(no torn edges).  Circle your final answer. You may use a calculator.

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1. A rectangular sheet of metal is expanding. When the width is 2~inches and the length is
3~inches, the width is increasing at the rate of 0.25~in/hr and the length at 0.5~in/hr. At
what rate is the area of the rectangle increasing?



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2. Let $f(x,y) = e^{xy^2} \cos(x)$. Compute $f_{xy}$.



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