8. Let Q={(x, y, z): 1≤z≤5-x² - y², x² + y² ≥ 1}. If the density at the point P(x, y, z) is directly proportional to the distance from the zy-plane to P, find the mass and center of mass of Q.
8. Let Q={(x, y, z): 1≤z≤5-x² - y², x² + y² ≥ 1}. If the density at the point P(x, y, z) is directly proportional to the distance from the zy-plane to P, find the mass and center of mass of Q.
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:8. Let Q= {(x, y, z): 1≤z≤5-²-², x² + y²21}. If the density at the point P(x, y, z) is directly
proportional to the distance from the zy-plane to P, find the mass and center of mass of Q.
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