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Let S be the portion of the cylinder y = e in the first octant that projects parallel to the x-axis onto the rectangle Ryz:

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Let S be the portion of the cylinder y = e" in the first octant that projects parallel to the x-axis onto the rectangle Ryz: 1 sys 5, 0z 1 in the yz-plane (see the accompanying figure). Let n be the unit vector normal to S that points away from N the yz-plane. Find the flux of the field F(x,y,z) = - 3i + 2yj + 2zk across S in the direction of n. X y= /2x S 5 The flux is. (Type an exact answer.)

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