Set-up the triple integrals that will give the volume of the following solids. Use the indicated coordinates. a. The solid bounded by the cylinder x = 2y², the plane z + 4z = 8 and the ry-plane. Use Cartesian coordinates. b. The solid in the first octant bounded by the plane y = 1 - * and the cylinder == 1-². Use cylindrical coordinates. C. The solid bounded by the cone = √x² =√√x² + y₂² spherical coordinates. and the plane pcos = 4 Use

Set-up the triple integrals that will give the volume of the following solids. Use the indicated coordinates. a. The solid bounded by the cylinder x = 2y², the plane z + 4z = 8 and the ry-plane. Use Cartesian coordinates. b. The solid in the first octant bounded by the plane y = 1 - * and the cylinder == 1-². Use cylindrical coordinates. C. The solid bounded by the cone = √x² =√√x² + y₂² spherical coordinates. and the plane pcos = 4 Use

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...

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