Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate

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Use the Divergence Theorem to calculate the surface integral ʃʃS F • dS; that is, calculate the flux of F across S.

F = |r| r, where r = x i + y j + z k, S consists of the hemisphere z = √1 - x2 - y2 and the disk x2 + y2 < 1 in the xy-plane

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