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Quiz 7\quad Nov.~3/5, 1992\cr
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1. Evaluate the iterated integral $\int_0^1\int_{\sqrt{y}}^1 \sin(x^3)\,dx\,dy$.

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2. Calculate the volume of the solid in the first octant bounded by $y = x$, $y = 1$, and $z = x^2 y$.

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