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3. Find the volume of the solid obtained by revolving the region below y = 4...

3. Find the volume of the solid obtained by revolving the region below y = 4 − x 2 and above y = 0, for 0 ≤ x ≤ 2, about the y-axis.

4. Find the centroid of the region outside the circle x 2 + (y + 4)2 = 25 and inside the circle x 2 + y 2 = 9.

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