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{\bf Math 225 : Quiz\hfill Nov.\ 6, 1991}

Show your work and circle your final answer.

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1. Find the centroid of the region bounded by the graphs $y = 1 - x^2$ and $y = x^4 - 1$.

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2.Evaluate the integral
$$\int_0^1\int_{\sqrt{\textstyle y}}^1 \cos(x^3)\,dx\,dy$$
by reversing the order of integration.

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