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bordinates where R: 0 < aw the solid R. th 2 2

bordinates where R: 0 < aw the solid R. th 2 2

Elementary Geometry For College Students, 7e
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 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...
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Set-up only, no need to get the value. 

Set up only a triple integral that will give the following: (a) the volume of R using cylindrical coordinates where R 0 ≤ x ≤ 1, 0 ≤ y ≤ √1-x², 0≤x≤ √√4 − (x² + y²). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √√x² + y2 and below the sphere x² + y² + z² = 2az, where a > 0, using spherical coordinates. Draw the solid B
Transcribed Image Text:Set up only a triple integral that will give the following: (a) the volume of R using cylindrical coordinates where R 0 ≤ x ≤ 1, 0 ≤ y ≤ √1-x², 0≤x≤ √√4 − (x² + y²). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √√x² + y2 and below the sphere x² + y² + z² = 2az, where a > 0, using spherical coordinates. Draw the solid B
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