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1. For the region bounded above by the hemisphere surface x 2 ty2 +zz zy and below by the ky plane: a ) By directly evaluating a X surface integral(s), compute the flux of F = 32 K through the closed surface bounded by the hemisphere and the xy plane. b) compute the center of mass of the hemisphere using spherical coordinates. Assume the object has uniform density. ( ) confirm your result in part a) using the Divergence Theorem