Question: The base of the closed cubelike surface shown here is the unit square in the xy-plane. The four sides lie in the planes x =

The base of the closed cubelike surface shown here 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 - 2yj + (z + 3)k and suppose the outward flux of F through Side A is 1 and through Side B is -3. Can you conclude anything about the outward flux through the top? Give reasons for your answer. x Z Side A Top (1, 1, 0) Side B

x Z Side A Top (1, 1, 0) Side B

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