SOLVED: Let S be the solid enclosed by the cylinder x^2 y^2 = 4 bounded above by the plane z y = 4 and below by the paraboloid z = -4 x^2 y^2. Consider the vector field F = (x - y)i xj - yk.(a) [10%] Find the surface area of the bottom of the solid S.(b) [15%] Use two different methods to find the circulation of F around the boundary of the top of the solid S that lies in the plane z y = 4.(c) [10%] Find the flux of F outward from the solid S.
SOLVED: Let S be the solid enclosed by the cylinder x^2 y^2 …
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