Rotating the ellipse x2a2 y2b2 1 about the x-axis
Question: 1. Find the length of one arch of y = sin x.
2. Find the perimeter of the region bounded by y = x and y = x2.
3. Rotating the ellipse x2/a2 + y2/b2 = 1 about the x-axis generates an ellipsoid. Compute its volume.
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