The mass of a lamina (with constant density rho) in the first quadrant bounded by the parabola y = 6x - x2 and the line y=x is 125. Find the density constant rho. Find the centroid of the region.
Show transcribed image textThe mass of a lamina (with constant density rho) in the first quadrant bounded by the parabola y = 6x - x2 and the line y=x is 125. Find the density constant rho. Find the centroid of the region.