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Asked Feb 17, 2020
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Centroid of a region Find the centroid of the region in the plane
enclosed by the curves y = ±(1 – x²)-1/2 and the lines x = 0
and x = 1.
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Centroid of a region Find the centroid of the region in the plane enclosed by the curves y = ±(1 – x²)-1/2 and the lines x = 0 and x = 1.

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Expert Answer

Given information:

Calculus homework question answer, step 1, image 1

Express the integral as below.

Calculus homework question answer, step 2, image 1

Calculate the moment of the region.

Calculus homework question answer, step 3, image 1

...

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