# Applications of double integrals: A lamina occupies the part of the disk x^2 + y^2 <= 64 in the first quadrant. Find its center of mass if the density at any point is proportional to its distance from the x-axis.

Applications of integrals
A lamina occupies the part of the disk $$\displaystyle{x}^{{2}}+{y}^{{2}}\le{64}$$ in the first quadrant. Find its center of mass if the density at any point is proportional to its distance from the x-axis.