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(a) [7] Let R be the region bounded by the curve y = x - 4x3 and -1. Find the volume of the solid

 

(a) [7] Let R be the region bounded by the curve y = x - 4x3 and -1. Find the volume of the solid generated by revolving the region R about the line x = 1. the line y == (b) [8] Find the area of the surface generated by revolving the curve x = sint and y = cos t, where 0 t , about the line y = 1.

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