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Find the Y-Coordinate of the Center of Mass of the Lamina

question 117

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Find the y-coordinate of the center of mass of the lamina that occupies the region D={(x,y) 0x1,0y1}D = \{ ( x , y ) \mid 0 \leq x \leq 1,0 \leq y \leq 1 \} and whose density function at any point is the distance from that point to the y-axis.

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