A lamina of mass density p(x, y) = xy occupies the region of the plane bounded by the curves y=x² and y=√x. Given that the mass of the lamina is equal to m= 1/12' find the .c-coordinate of its center of mass.
A. 3/4
B. 2/3
C. 2/5
D. 1/56
E. 9/14