Find the center of mass of a thin plate of constant density d covering the given region. The region bounded by the parabola y = 5x - 5x2 and the line y = - 5x The center of mass is | (Type an ordered pair.)

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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Find the center of mass of a thin plate of constant density d covering the given region.
The region bounded by the parabola y = 5x - 5x2 and the line y = - 5x
The center of mass is
: (Type an ordered pair.)
Transcribed Image Text:Find the center of mass of a thin plate of constant density d covering the given region. The region bounded by the parabola y = 5x - 5x2 and the line y = - 5x The center of mass is : (Type an ordered pair.)
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Step 1 - Sketch the curve and find M.

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