Question

10. Use the Divergence Theorem to compute the net outward flux of the vector field F= <x^2, -y^2, z^2> across the boundary of the region​ D, where D is the region in the first octant between the planes z= 9-x-y and z= 6-x-y.

The net outward flux is __.

11. Decide which integral of the Divergence Theorem to use and compute the outward flux of the vector field F= <-7yz,2,-9xy> across the surface​ S, where S is the boundary of the ellipsoid (x^2) + (y^2/16) + (z^2/16) = 1.

The outward flux across the ellipsoid is ___.

Answer 1

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