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# Multivariable Calculus: Mass and Centroid of a Plane Lamina

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Find the mass and centroid of the plane lamina with the indicated shape and density:
The region bounded by the parabolas y = x^2 and x = y^2, with &#61540;(x, y) = xy

&#61540;: is the density symbol

##### Solution Summary

The solution is comprised of an explanation for the calculation of the mass and centroid of a plane lamina.

##### Solution Preview

we actually want the centre of mass and this is the procedure.

We have:

Mx=int(int(y*ro(x,y),y),x)
My=int(int(x*ro(x,y),y),x)
M=int(int(ro(x,y),y),x)
where the limits of x and y are ...

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