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3. A point mass m is a distance d from the center of a thin spherical shell of mass M and radius R. The magnitude of the gravitational force on the point mass is given by the integral GMm (d - Rcos(4)) sin(4) F(d) = 4 TT (R2 + d2 - 2Rd cos() ) 3/2 dude GMm (a) Show that if d > R, then F(d) = d2 (b) Show that if d