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For the region between y = 4x - x 2 and y = x 2 find the volume which is generated by rotating the region
For the region between y = 4x - x2 and y = x2 find the volume which is generated by rotating the region about the horizontal line y = 5 using the cylindrical shells method.
Sketch the relevant curves and bounds. Set up the corresponding volume integrals but do not evaluate.
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