Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the y-axis. y = 13e-, y = 0, r 0. r = 1 Lahall (Do thic on naner Your instructor may ask you to turn in this sketch.)

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A: Solution:

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A: This question is based on application of integration .

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A: To evaluate the given integral using green's Theorem.

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A: As we know from the Green's theorem; ∫CMdx+Ndy=∫∫D∂N∂x-∂M∂ydA   Given; I=∫C3x2-ydx+3xdy So, M=3x2-y…

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A: ∫21*8xcos(8x)dxSubstitute u=8x→dudx=ln(8)*8x→dx=1ln(8)*8xdu=21ln(8)∫cos(u)du

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A: topic - derivatives

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A: The position of an object,st=14cos4t-16sin4t on the interval 0&lt;t&lt;3

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A: arc length

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