please show steps and the rules that you are using. ANd can explain why thank you Find the center of mass of the lamina bounded above byf(x) = -x² + 4x + 2 and below by g(x) = x + 2 over[0,3] on the x-axis. Assume p-1.

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Answered: 160 Find the center of mass of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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160 Find the center of mass of the lamina bounded above by f(x) = x² + 4x + 2 and below by g(x)=x+2 over [0,3] on the x-axis. Assume p = 1,