$\"\"$

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The curve equations are $\"\"$ and $\"\"$ .

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Coordinates of centroid are $\"\"$ , $\"\"$ .

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Find the point of intersections by using graph.

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Find the area of the region.

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$\"\"$

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The points of intersection of the two curves are $\"\"$ and $\"\"$ .

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The top curve is $\"\"$ and the bottom curve is $\"\"$ on $\"\"$ .

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area of the region is $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Area is $\"\"$ .

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$\"\"$

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Find the $\"\"$ -coordinate of the centroid.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Find the $\"\"$ -coordinate of the centroid.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Centroid is $\"\"$ .

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$\"\"$

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Plot the cetroid.

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Graph:

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$\"\"$ .

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$\"\"$

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Centroid is $\"\"$ .