6 Find the center of mass of a thin plate of covering the region between the x-axis and the curvey=22sxs 6, if the plate's density at the point (x,y) is 8(x)=x² Give the ratio of definite integrals over x needed to find the x-component of the center of mass by dividing the plate into vertical strips. x= (Do not perform the calculation.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
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6.6.2.4

6
Find the center of mass of a thin plate of covering the region between the x-axis and the curvey=22sxs 6, if the
plate's density at the point (x,y) is 8(x)=x²
Give the ratio of definite integrals over x needed to find the x-component of the center of mass by dividing the plate
into vertical strips.
x=(Do not perform the calculation.)
Transcribed Image Text:6 Find the center of mass of a thin plate of covering the region between the x-axis and the curvey=22sxs 6, if the plate's density at the point (x,y) is 8(x)=x² Give the ratio of definite integrals over x needed to find the x-component of the center of mass by dividing the plate into vertical strips. x=(Do not perform the calculation.)
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