Answer all and show work in handwriting As shown in the picture at right, a solid isbounded below by the xy-plane, above by the spherex² + y° + z° = 4«, and laterally by the cylinderr = 2a cos 0. Set up the triple integral using cylindrical#1coordinates to find the momentNOT SOLVE.)f inertia, I,. (DOr-2a cosUsing spherical coordinates, find the volume cut from the sphere p = a by the cone =a (see the figure at right).#2Find the surface area S of the paraboloid z = x+ y* below the plane z = 1, using the figure at right. (Donot simplify your answer)#3 Evaluate the integrals:and Sх-уdydxx-ydxdySo Jo x+y)*(x+y)3Are the results the same? Why or why not?

Answered: Image /qna-images/answer/b7885046-01b8-44f1-b9a0-929478930d14.jpg

Answered: Evaluate the integrals: x-y х-у (x+y)3…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 22CR

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Evaluate the integrals: x-y х-у (x+y)3 dxdy (x+y)³ kpxp I xpáp S pue Are the results the same? Why or why not?