Let F(x, y, z) = 3yj and S be the closed vertical cylinder of height 3, with its base a circle of radius 4 on the xy-plane centered at the origin. S is oriented outward. (a) Compute the flux of F through S using the divergence theorem. Flux = F· dà = - [[ ³ · d (b) Compute the flux directly. Flux out of the top= Flux out of the bottom= Flux out of the vertical sides=

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