Let F(x, y, z) = 3yj and S be the closed vertical cylinder of height 5, 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 through S using the divergence theorem. Flux = !! F.dĀ= (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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Let F(x, y, z) = 3yj and S be the closed vertical cylinder of height 5, 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 through S using the divergence theorem.
- [[ F · dà =
Flux =
(b) Compute the flux directly.
Flux out of the top =
Flux out of the bottom=
Flux out of the vertical sides =
//147
Transcribed Image Text:Let F(x, y, z) = 3yj and S be the closed vertical cylinder of height 5, 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 through S using the divergence theorem. - [[ F · dà = Flux = (b) Compute the flux directly. Flux out of the top = Flux out of the bottom= Flux out of the vertical sides = //147
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