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dV = r dz dr de where R: 0< Draw the solid R. z = √√3x² + 3y² and below the Duom solid

dV = r dz dr de where R: 0< Draw the solid R. z = √√3x² + 3y² and below the Duom solid

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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< x ≤ 1,0 ≤ y ≤ √1 - x², 0≤ z ≤ √√4 − (x² + y²). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √√3x² + 3y² and below the sphere x² + y² + z² = z using spherical coordinates. Draw the solid B 6
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< x ≤ 1,0 ≤ y ≤ √1 - x², 0≤ z ≤ √√4 − (x² + y²). Draw the solid R. (b) the volume of the solid B that lies above the cone z = √√3x² + 3y² and below the sphere x² + y² + z² = z using spherical coordinates. Draw the solid B 6
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