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Problem 3. (question purpose: extend understanding of major theorems of vector calculus) A pipe with radius R is aligned with the 2 direction. It is

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Problem 3. (question purpose: extend understanding of major theorems of vector calculus) A pipe with radius R is aligned with the 2 direction. It is filled with fluid flowing in the positive z direction. The velocity of fluid in the pipe is given by u(r, 0, 2) which varies with location. Consider the cylindrical region given by p

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