Let R be the region in the first quadrant bounded by the curves. Sketch the region enclosed by the given curves. Then calculate the volume obtained by rotating the region about the x − axis, and about y − axis. a) y = x3 and y = 2x − x2 b) y = (x +1)1/2 and y = x2
Let R be the region in the first quadrant bounded by the curves. Sketch the region enclosed by the given curves. Then calculate the volume obtained by rotating the region about the x − axis, and about y − axis.
a) y = x3 and y = 2x − x2
b) y = (x +1)1/2 and y = x2
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