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6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: 0≤ #≤ 1,0 ≤ y ≤ VI-2²,05 = S √√4=(2²+²). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √32²2 + 3y² and below the sphere ²+²+² == using spherical coordinates. Draw the solid B

6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: 0≤ #≤ 1,0 ≤ y ≤ VI-2²,05 = S √√4=(2²+²). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √32²2 + 3y² and below the sphere ²+²+² == using spherical coordinates. Draw the solid B

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: 0 *≤ 1,0 ≤ y ≤ √1-2², 0≤ ≤ √√4=(2²+ y2). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √√32² + 3y² and below the sphere a² + y² +2²= z using spherical coordinates. Draw the solid B
Transcribed Image Text:6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: 0 *≤ 1,0 ≤ y ≤ √1-2², 0≤ ≤ √√4=(2²+ y2). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √√32² + 3y² and below the sphere a² + y² +2²= z using spherical coordinates. Draw the solid B
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