Centroid Interval Problem

[Jason76]

Determine the center of mass for the region bounded by \(\displaystyle y = x^{3}\) and \(\displaystyle y = \sqrt{x}\)

http://tutorial.math.lamar.edu/Classes/CalcII/CenterOfMass.aspx

How do I find the interval of which to make the upper and lower bounds (when making a definite integral)?

Do I set the two equation equal to each other, and solve for \(\displaystyle x\)?

The other parts make sense. You find the area by subtracting the smaller area from the larger area (but how do we know what the smaller area is ) You, then find the moments, and the coordinates of the center of mass (using the respective formulas).

 

[Deleted member 4993]

Determine the center of mass for the region bounded by \(\displaystyle y = x^{3}\) and \(\displaystyle y = \sqrt{x}\)

http://tutorial.math.lamar.edu/Classes/CalcII/CenterOfMass.aspx

How do I find the interval of which to make the upper and lower bounds (when making a definite integral)?

Do I set the two equation equal to each other, and solve for \(\displaystyle x\)? .... Yes

The other parts make sense. You find the area by subtracting the smaller area from the larger area (but how do we know what the smaller area is ) You, then find the moments, and the coordinates of the center of mass (using the respective formulas).

All these questions are answered nicely - if you sketch the functions first.

In these problems - that should be your first step.