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Let D be the region in space lying inside the sphere 2² + y² + z? = 4, outside the cone 22 = 3(2 + y?) and above the ry-plane. Which of the following computes the volume of D in cylindrical coordinates? 3r r dz dr do 2m (a) 2x r dz dr do 3r r dz dr de 27 (b) 2 (c) r dz dr do (4) LL r dz dr do 3r2 r dz dr do

Let D be the region in space lying inside the sphere 2² + y² + z? = 4, outside the cone 22 = 3(2 + y?) and above the ry-plane. Which of the following computes the volume of D in cylindrical coordinates? 3r r dz dr do 2m (a) 2x r dz dr do 3r r dz dr de 27 (b) 2 (c) r dz dr do (4) LL r dz dr do 3r2 r dz dr do

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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Let D be the region in space lying inside the sphere 2² + y? +2? = 4, outside the cone z2 = 3(2² + y?) and above the ry-plane. Which of the following computes the volume of D in cylindrical coordinates? -2T -1 /3r2 (a) r dz dr do -2x -2 r dz dr do 0. 3r (b) r dz dr do -2 (c) r dz dr do -2m 4-r (4) LI (d) r dz dr do 3r2 3r2 (e) r dz dr do V4- r dz dr do
Transcribed Image Text:Let D be the region in space lying inside the sphere 2² + y? +2? = 4, outside the cone z2 = 3(2² + y?) and above the ry-plane. Which of the following computes the volume of D in cylindrical coordinates? -2T -1 /3r2 (a) r dz dr do -2x -2 r dz dr do 0. 3r (b) r dz dr do -2 (c) r dz dr do -2m 4-r (4) LI (d) r dz dr do 3r2 3r2 (e) r dz dr do V4- r dz dr do
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