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4. (12 points, 3 points each part) Let F = (0, ey sin(a), e sin(a)) . (a) Find the curl of F. (b) Find a function h(x, y, z) such that G = (h(x, y, z), ey sin(x), esin(x)) is conserva- tive. Then find a function g(x, y, z) such that G = Vg(x, y, z). (c) Find f G . dr, where C is parameterized as x(t) = t, y(t) = sin(t), z(t) = sin(t), C osts ?. (d) Using the results from (b) and (c), find f F . dr, where C' is same as defined in C