Consider the following. x 8V sin(y). osysn, x = 0; about y = 4 (a) Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curve about the specified axis. T 27(4-y)8V sin (y) V = b) Use technology to evaluate the integral. (Round your answer to four decimal places.)

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A: Refer to the figure shown below

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Q: te the double integral over the rectangular region TT /2(r sin(y)- y sin(x)) dA; R = { : 0 <a <50<y<…

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Q: problem in photo attached

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A: Given: The given curve is y=-x2+3x+18,x=0 and y=0.A solid S is formed by rotating R about the…

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Q: Consider the following. X = 9V sin(y), 0sysn, x = 0; about y = 4 (a) Set up an integral for the…

A: part a) We will use shell method to calculate the volume of the solid obtained. x = 9sin(y) , 0≤y≤π…

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Q: 15. a) Sketch the region enclosed by the lines = 3 and y =1 and the curve xy = 9, and find its area.…

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Q: Consider the curve segments: S1: y = x from x =- to x = 2 and S2: y = 1 Vxfrom x = to x = 4. Set up…

A: I am going to solve the given problem by using some simple calculus to get the required result.