Moment of inertia about z is calculated as ³ ]]] (x² + y²) p(x, y, z)dV where p is the density function E Let E be the solid below z = 18 - x² - y² and above the square [ – 3, 3] × [ − 3, 3] Given the solid has a constant density of 2, find the moment of inertia of E about the z-axis. Question Help: Submit Question Video Jump to Answer

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 19E
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Moment of inertia about z is calculated as
Let E be the solid below z = 18 - x² - y² and above the square [ − 3, 3] × [ − 3, 3]
Given the solid has a constant density of 2, find the moment of inertia of E about the z-axis.
Question Help: Video
• [[ (x² + y²) p(x, y, z)dV where p is the density function.
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Transcribed Image Text:Moment of inertia about z is calculated as Let E be the solid below z = 18 - x² - y² and above the square [ − 3, 3] × [ − 3, 3] Given the solid has a constant density of 2, find the moment of inertia of E about the z-axis. Question Help: Video • [[ (x² + y²) p(x, y, z)dV where p is the density function. Submit Question Jump to Answer
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,