Compute the triple integral f(x,v.z)dxdydz where D is the sphere with center O and radius R and f(x,y,z)=/R² - (x²+y² +z?)
Compute the triple integral f(x,v.z)dxdydz where D is the sphere with center O and radius R and f(x,y,z)=/R² - (x²+y² +z?)
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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Transcribed Image Text:Question 1
Compute the triple Integral | f(x,v,z)dxdydz where D is the sphere
f(x,»
with center O and radius R and f(x,y,z)=/R² - (x²+y² +z?)
R1
TT
4
4
2TTR
4
R1
3
3TR?
4
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