Find the volume of the solid obtained by rotating the region bounded by the curves y = 2 and y = 1/2 x^2 about the line y = 4.
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Step 1
First, we need to find the points of intersection between the curves y = 2 and y = x^2. To do this, we set y = x^2 equal to y = 2: x^2 = 2 x = ±√2 So the points of intersection are (-√2, 2) and (√2, 2). Show more…
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