Consider the following. (a) Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with radi br 71 28ar √2 dy X (b) By interpreting the integral as an area, find the volume V of the torus V-Tar(7r-2R)² ta-3 and b-7.)

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Q: Solve x 4-[-5323] D -53 -13 4 x(t) = y(t) = x(0) = 4, y(0) = -28

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Q: Lauren Robinson. 7) Y¹ = AX ₁ A = 1-3 31, Y (0) = 12/21

A: To solve it with eigen vector method.

Q: (a) Write the dual of the following primal LPP: Minimize Z = 2x₁ + 2x₂ subject to 2x, +4x₂ ≥1 x₁ +…

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A: The manufacturer of a boat needs to approximate the centre of mass of a section of the hull. A…

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Q: Extra Credit: Prove Σ(i) by using Induction Step: (n²) - Σ-¹)(i).

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Q: Consider the following. (a) Set up an integral for the volume a solid torus (the donut-shaped solid…

A: See the image

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A: Here we have to evaluate the given integral using stoke's theorem.

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Q: Suppose : R¹ R² is a linear transformation and f(en) = a, for n=1,2,3. A= 02 1 -1 -2 e. The inear…

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Q: Let be an integer from 9 to 38. For how many values of will (n)/(5)be prime?

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