Find the center of mass of a thin plate covering the region bounded above by the parabola y = 4 - x² and below by the x-axis. Assume the density of the plate at the point (x, y) is 8 = 2x², which is twice the square of the distance from the point to the y-axis.

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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Find the center of mass of a thin plate covering the region bounded above by
2
the parabola y = 4 - x² and below by the x-axis. Assume the density of
the plate at the point (x, y) is 8 = 2x², which is twice the square of the
distance from the point to the y-axis.
Transcribed Image Text:Find the center of mass of a thin plate covering the region bounded above by 2 the parabola y = 4 - x² and below by the x-axis. Assume the density of the plate at the point (x, y) is 8 = 2x², which is twice the square of the distance from the point to the y-axis.
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