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8) Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = y - y? and the line x + y 0 if d(x, y) = x + y.

8) Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = y - y? and the line x + y 0 if d(x, y) = x + y.

Calculus For The Life Sciences
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 11E
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8) Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = y - y and the line x +y 0 if d(x, y) = x+ y. 9) Find the center of mass and moment of inertia about the x-axis of a thin plate bounded by the curves x = y and x = 2y - y if the density at the point (x, y) is ô (x, y) = y + 1.
Transcribed Image Text:8) Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = y - y and the line x +y 0 if d(x, y) = x+ y. 9) Find the center of mass and moment of inertia about the x-axis of a thin plate bounded by the curves x = y and x = 2y - y if the density at the point (x, y) is ô (x, y) = y + 1.
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