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(a) 3 √9-1² √9-x -3 -√√9-x2 Sz√x² + y² + z² dzdydx. 0

(a) 3 √9-1² √9-x -3 -√√9-x2 Sz√x² + y² + z² dzdydx. 0

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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29. Evaluate the integral by changing to spherical coordinates. 3 √9-x² √√9-x²-₁² s s -3-√√9-x² (a) (b) (c) (d) T SSS [dvdjyde, T = {(x,y,z) 105 x ≤ 1,0 ≤ y s√₁-2²₁ √ 2 ² + y ² 5 2 < √ 2 - ( 1² + x³²]} T 1.+2 + 1 2 0 +z 2 z√√x² + y² + z² dzdydx. jdzbyde, T = {(x,y;=||0 ≤ x ≤ 1,0 ≤ y ≤ √(₁-x²,0525 √/1-1²-1²) < zdv, where E lies between the spheres x² + y² + z² = 1 and E x² + y² + z² = 4 in the first octant.
Transcribed Image Text:29. Evaluate the integral by changing to spherical coordinates. 3 √9-x² √√9-x²-₁² s s -3-√√9-x² (a) (b) (c) (d) T SSS [dvdjyde, T = {(x,y,z) 105 x ≤ 1,0 ≤ y s√₁-2²₁ √ 2 ² + y ² 5 2 < √ 2 - ( 1² + x³²]} T 1.+2 + 1 2 0 +z 2 z√√x² + y² + z² dzdydx. jdzbyde, T = {(x,y;=||0 ≤ x ≤ 1,0 ≤ y ≤ √(₁-x²,0525 √/1-1²-1²) < zdv, where E lies between the spheres x² + y² + z² = 1 and E x² + y² + z² = 4 in the first octant.
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