Question

8. Use the Divergence Theorem to compute the net outward flux of the field F= <-x,...

8. Use the Divergence Theorem to compute the net outward flux of the field F= <-x, 3y, z> across the surface S, where S is the surface of the paraboloid z= 4-x^2-y^2, for z ≥ 0, plus its base in the xy-plane.

The net outward flux across the surface is ___.

9. Use the Divergence Theorem to compute the net outward flux of the vector field F=r|r| = <x,y,z> √x^2 + y^2 + z^2 across the boundary of the region​ D, where D is the region between the spheres of radius 1 and √3 centered at the origin.

The net outward flux is __.

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