need urgent help in b&c please 2. Set up triple integrals in cylindrical coordinates that compute the volumes of thefollowing regions (do not evaluate the integrals):a) the region A bounded by the sphere r + y? + 22 = 12 and the paraboloid? + y? + z = 0,%3Db) the region B in the first octant bounded by the surfaces z = x and r +y? +2 = 1, and%3Dc) the region C inside both spheres r² +y? + (z - 2)? = 16 and r? +y? +2? = 16.%3D

Given, Different regions bounded by different surfaces. To find: Set up triple integral in…

2. Set up triple integrals in cylindrical coordinates that compute the volumes of the following regions (do not evaluate the integrals): a) the region A bounded by the sphere r+y² + 22 = 12 and the paraboloid +y? +z = 0, 1 and r2+y?+ b) the region B in the first octant bounded by the surfaces z = 2 = 1, and c) the region C inside both spheres z² +y? +(z-2)2 = 16 and r+y +2² = 16. %3D %3D

2. Set up triple integrals in cylindrical coordinates that compute the volumes of the following regions (do not evaluate the integrals): a) the region A bounded by the sphere r+y² + 22 = 12 and the paraboloid +y? +z = 0, 1 and r2+y?+ b) the region B in the first octant bounded by the surfaces z = 2 = 1, and c) the region C inside both spheres z² +y? +(z-2)2 = 16 and r+y +2² = 16. %3D %3D

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...

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