Consider the vector field is F = (z, 3x, 5) and the surface S is the positively oriented %3D surface of the portion of z = 9- x² - y² that lies inside x2 + y2 = 1. a. Sketch the surface S and the curve of intersection C (I know it's in 3d, but do your best). b. Use Stoke's theorem to calculate F dr.

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