Find the volume of the solid generated by revolving the region between the parabola x=y^2+1 and the line x=3 about the line x=3.

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A: This question is based on Lagrange multiplier.

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A: Integration by parts.

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A: We will use law of sines to solve this question.

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A: See this solution in below

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A: Solve the following

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A: we will use chain rule yo find derivative.

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A: .

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A: We can answer the questions as below.

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A: Follow the procedure given below.

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Q: Find the area of the triangle with vertices P(1,3, —5), Q(0, 0, 0) and R(4, 5, 1). NOTE: Enter the…

A: The triangle with vertices P1,3,-5, Q0,0,0 and R4,5,1