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Solve the problem.
-The base of the closed cubelike surface is the unit square in the xy-plane. The four sides lie in the planes x = 0, x = 1, y = 0, and y = 1. The top is an arbitrary smooth surface whose identity is unknown. Let
F = xi - 4yj + (z + 11) k and suppose the outward flux through the side parallel to the yz-plane is 2 and through
The side parallel to the xz-plane is -5. What is the outward flux through the top?
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