Question: Problem 1 (12 marks) (a) (7 marks) Evaluate the integral f0 F - nds, where F(:c, y) = (a: + 31,332 + y2), C' is

Problem 1 (12 marks) (a) (7 marks) Evaluate the integral f0 F - nds, where F(:c, y) = (a: + 31,332 + y2), C' is the curve g + 932 = 1 (counterclockwise oriented), and I1 is the outward unit normal vector to the curve C. (b) (5 marks) Use the divergence theorem to solve the problem (a) above. Problem 2 (8 marks) Evaluate the integral ff 332(22 + '92) (13, where S is a part of the cylinder :32 + y2 = 4, s 2

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