Question: 3. Given a vector function, F = x + y), calculate, L F.d, over the part of the surface z = 4 - x

3. Given a vector function, F = x + y), calculate, L

3. Given a vector function, F = x + y), calculate, L F.d, over the part of the surface z = 4 - x - y that is above the (x, y) plane. Hint 1: exploit the divergence theorem and calculate the volume bounded by the surface and the piece that it cuts out of the (x, y) plane. Hint 2: What is F. on the (x, y) plane?

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