Find the volume of the solid that results when the region enclosed by 2.x y = e2, y = 0, x = 0, x = ln 6, is revolved around the r-axis. NOTE: Enter the exact answer as an improper fraction if necessary. V %3D

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A: Topic:- application of integration

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A: Given: Now, fxx=∂2∂ x2x5+x2y2+y5+x+y    =∂ ∂ x5x4+2xy2+1    =20x3+2y2 fyy=∂2∂ y2x5+x2y2+y5+x+y…

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A: use simple integration formula.

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A: Given region R=( x,y) : 0≤x, 0≤y , x2+y2≤4

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A: To find the points on the ellipse 5x2+y2=5, that are farthest away from the point 1, 0.

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A: From the given problem; ∫xsec12xtan12xdx=uv-∫vdu    ....1   We know that; ∫secxtanxdx=secx+C

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Q: 4. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6, 7}, B = {all multiples of 3} and C =…

A: U=1,2,3,4,5,6,7,8,9A=3,4,5,6,7B=all multiples of 3C=all multiples of 2

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