Let F(x,y,z) = x²+y2+z² i+ x²+y2+z° sj+ Vx?+y²+z2 k. Let S be the surface consisting of the hemisphere z = - x² – y² and the disk x2 + y² <1 in the xy-plane. Calculate the flux of F across S. (Hint: When calculating div F, simplify as much as you can. Then, consider using spherical coordinates to calculate the triple integral.)

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