A lamina occupies the part of the disk x2 + y2 ≤ 49 in the first quadrant. Find its center of mass if the density at any point is proportional to its distance from the x-axis.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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A lamina occupies the part of the disk x2 + y2 ≤ 49 in the first quadrant. Find its center of mass if the density at any point is proportional to its distance from the x-axis.

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