Finding Flux Across a SurfaceLet S be the portion of the

Chapter 16, Problem 39E

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Problem 39E

Finding Flux Across a Surface

Let S be the portion of the cylinder y = ex in the first octant that projects parallel to the x-axis onto the rectangle  in the yz-plane (see the accompanying figure). Let n be the unit vector normal to S that points away from the yz- plane. Find the flux of the field F(x, y, z) = -2i + 2yj + zk across S in the direction of n.

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