Use the divergence theorem to evaluate the surface integral ∫∫S◯F⋅NdS where F=10xy^2zi+10yx^2zj+z^2k, S is the closed hemispherical surface z=√(1−x^2−y^2) together with the disk x^2+y^2≤1 in the xy-plane, and NN is the outward unit normal for S

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