Find the flux of F(x, y, z) = sin(xyz) i + x 2 y j + z

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Find the flux of

F(x, y, z) = sin(xyz) i + x2y j + z2ex/5

across the part of the cylinder 4y2 + z2 = 4 that lies above the xy-plane and between the planes x = -2 and x = 2 with upward orientation. Illustrate by using a computer algebra system to draw the cylinder and the vector field on the same screen.

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