Answer the following question manually and show your process

(6 points) The figure below is an open cylindrical can, S, given by x2 + yz = 1, with a height of 5, standing on the xy-plane. (S has a bottom and sides, but no top.) Let C be the curve at the top edge (the rim) of the cylinder at height 2 = 5; it is traversed clockwise when viewed from the top. til. /f s.,% 5/? Mt. ' \\\\\\', (a) Give a parametric equation, 7(1') for the curve C, using angle-bracket notation: (f (2?), g(t), h(t)): Ht) = ,with s I 5 Note that answers must be provided for all three of these answer blanks in (a) to be able to determine correctness of the parameterization. (b) If S is oriented outward and downward, find curl (6))? + 6x; + 3zl?) - d3". (Hint: Stokes Theorem.) S ff curl (6y? + 6x} + 3:1?) - d = S