Suppose a wire is in the shape of the curve C given by (4, t) between the points (1,–1) and (16, 2), with density p(r, y) = sin r(7 + arctan y). Set up but do not evaluate an expression for the total mass of the wire. (Your answer should be a single-variable integral) 3.

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A: Please find the detailed solution in below images. The answer is 4πa^3

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A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

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A: To evaluate the given triple integral.

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A: ∬∫EydV

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A: A detailed solution is given below.

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A: Please refer the attached image for complete solution.

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Q: b) Determine the volume of D = 5[ 1 dV using integral -zx.

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Q: change the iterated integrals to cylindrical coordinates 9-x²-y? Z. z ydzdydx -3 -V9-x2 0.

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