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Let B be a ball of radius 3 centered at (0,0,0). We want to evaluate 1 =JJJ₂² +(y - 3)² +2² (***) Explain why the following integral [[[ (a) B√√√T². 1 2 V dV

Let B be a ball of radius 3 centered at (0,0,0). We want to evaluate 1 =JJJ₂² +(y - 3)² +2² (***) Explain why the following integral [[[ (a) B√√√T². 1 2 V dV

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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Need help with part b). Please explain each step and neatly type up. Thank you :)

 

5. Let B be a ball of radius 3 centered at (0, 0, 0). We want to evaluate the integral 1 x² + (y − 3)² +. − 2 (***) Explain why the following integral WAVE (a)( (b) (c) = √₂² has the same value as I. dV 1 x² + y² + (z − 3)² dV (*) Express B using the cylindrical coordinate. (**) Evaluate I using (a) and cylindrical coordinate.
Transcribed Image Text:5. Let B be a ball of radius 3 centered at (0, 0, 0). We want to evaluate the integral 1 x² + (y − 3)² +. − 2 (***) Explain why the following integral WAVE (a)( (b) (c) = √₂² has the same value as I. dV 1 x² + y² + (z − 3)² dV (*) Express B using the cylindrical coordinate. (**) Evaluate I using (a) and cylindrical coordinate.
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