Find ( x , y ) ( bar x , bar y ) ( x , y ) , centroid of the region of constant density kkk covering the region bounded by the parabola y 2 x x 2 y 2 x x 2 y 2 x x 2 and the line y 2 xy 2 xy 2 x ( Hint Find the intersections first, then find M , x M , bar x M , x and y bar y y , respectively )

Question

Find ( x , y ) (    bar   x   ,    bar   y   ) ( x , y ) , centroid of the region of constant density kkk covering the region bounded by the parabola y   2 x x 2 y   2 x   x   2 y   2 x x 2 and the line y   2 xy     2 xy   2 x   ( Hint  Find the intersections first, then find M , x M ,    bar   x   M , x and y    bar   y   y , respectively )

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Find ( x , y ) ( bar { x } , bar { y } ) ( x , y ) ,

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