(a) Sketch the following surface. Label (i) the intersections of the surface with the axes and (ii) the curve of intersection of the surface and the xy-plane. S = = {(x, y, z) : x² + y² = 1 and 0 ≤ z <≤ 1} U {(x, y, z) : x² + y² + (z − 1)² = 1 and z ≥ 1} (curl F) .dS. (b) Let F(-y, x, xz + e³z). Compute If (c

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A: For the solution of the problem follow the next step.

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A: Sketch the surface given by the equation x2+z2/3+y=3   indicating the points where the   surface…

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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