Question: 3. A student was asked to calculate the surface integral of f(x, y, z) = 3xy over the plane z = 5 - x -

3. A student was asked to calculate the surface integral of f(x, y, z) = 3xy over the plane z = 5 - x - y in the first octant. Their work is below but they made a mistake. Circle where the mistake happened and explain why it's wrong. f (x, y, 5 - x- y) V2 dA .5 -y 3xy dxdy = V2 3 ( 5 - y)-y dy 2 3V2 .5 2 Jo 25y - 10y? + y's dy 625V2 8

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