Undergraduate

set up the integral for the volume of the space enclosed by the lemniscate r ^ 2 = 2 cos 2 theta as the base

set up the integral for the volume of the space enclosed by the lemniscate r^2=2cos2theta as the base of a solid right cyliner whose top in bounded by the sphere z=swrt(2-r^2). and find the volume of the space.

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