# Finding the Center of Mass

Please see the attached file for full problem description.

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Here is the problem:

Find the center of mass of the region bounded by the parabola y = 8 -2x^2 and the x-axis

a) if the density lambda is constant

and

b) if the density lambda = 3y

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:01 pm ad1c9bdddfhttps://brainmass.com/math/ordinary-differential-equations/center-mass-region-24075

#### Solution Preview

Please see the attached file.

ANSWER MUST BE IN COMPLETE SENTENCES

ALL STEPS MUST BE SHOWN

PLEASE EXPLAIN THE SOLUTION

Here is the problem:

Find the center of mass ...

#### Solution Summary

This shows how to find the center of mass of a region with two different density lambdas.

$2.49