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Consider the radial vector field F = (x, y, z). Let D be the solid between the paraboloids (a) Let C be the intersection curve

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Consider the radial vector field F = (x, y, z). Let D be the solid between the paraboloids (a) Let C be the intersection curve of the two paraboloids, oriented counterclockwise. Find a parameterization r(t) for C. (b) Compute curl F and div F. (c) Find the circulation of F on C. (d) Find the volume of D. (e) Let S be the boundary surface of D. Find the outward flux of F across S

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