Answered: How can I find the centroid of y2= 4x,…

How can I find the centroid of y2= 4x, y = 2x, using only solving for the equations Mx, My, and A. Mx = 1/2(integral a,b) y2dx My = (integral a,b) xy dx A = (integral a,b) y dx

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 3E

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How can I find the centroid of y²= 4x, y = 2x, using only solving for the equations M_x, M_y, and A.

M_x = 1/2(integral a,b) y²dx

M_y = (integral a,b) xy dx

A = (integral a,b) y dx

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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