Consider a thin plate of constant density d lying in the regionbounded by the graphs of y = √x and x = 2y. Find the plate’s moment about the line y = -3.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Consider a thin plate of constant density d lying in the region
bounded by the graphs of y = √x and x = 2y. Find the plate’s moment about the line y = -3.

Expert Solution
Step 1

Given Data

The density of a thin plate is d.

The first equation is y=√x.

The second equation is x=2y.

 

Consider the equation of upper curve f(x)= y=√x and the equation of the lower curve is,

Calculus homework question answer, step 1, image 1

Step 2

Substitute the values form equation y=√x in equation x=2y,

Calculus homework question answer, step 2, image 1

The expression for the moment of plate about the line y=-3 is,

Calculus homework question answer, step 2, image 2

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