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\textbf{Math 225: Calculus III}
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\textbf{Quiz 6}\quad \textsl{October 17, 2002}
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1. Use Lagrange multipliers to find the absolute maximum and minimum
values of the function $f(x,y,z)=xy$ subject to the constraint
$x^2+y^2+z^2 = 1$.

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2. Find $\int \int_R \frac{1}{(x-y)^2}\,dA$ where $R=[2,3]\times[0,1]$.

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