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Flux of a gradient field: Let S be the surface of the portion of the solid sphere x^2 y^2 z^2 < 9 that lies in the first octant and let f(x, y, z) = √(x^2 y^2 z^2). Use the Divergence Theorem to calculate ∫∫∫V ∇·f dV. Hint: Let V be the portion of the solid sphere that lies in the first octant: it has four sides Syz, Sxz, and Sxy that each lie in a coordinate plane.Compute the flux of V across Syz, the portion of the surface of V in the yz-plane.FluxCompute the flux of V acros
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