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# Finding the centroid of a lamina using definite integrals when density of the region varies.

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A lamina (with uniform thickness 0.01m) has the shape in the xy plane bounded by the curves y+sqrt(x)=0, x-y=0, x=1, x=4. If the density is given to be proportional to the distance of a point on the curve to Y-axis, find the centroid of the region.

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integrals, integration, integrating

https://brainmass.com/math/integrals/finding-the-centroid-of-a-lamina-using-definite-integrals-when-density-of-the-region-varies-76325

#### Solution Preview

Since the density is proportional to the distance from y-axis, we can make out ...

#### Solution Summary

The centroid of a lamina is found using definite integrals when density of the region varies. The solution is detailed and well presented.

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