A solid R has density p[x, y, z] grams/cm^3 at a point {x, y, z}. You get the center of mass {Subscript[x, μ], Subscript[y, μ], Subscript[z, μ]} of a solid R by setting Subscript[x, μ] = the average value of f[x, y, z] = x with respect to p[x, y, z] on R, Subscript[y, μ] = the average value of g[x, y, z] = y with respect to p[x, y, z] on R, and Subscript[z, μ] = the average value of h[x, y, z] = z with respect to p[x, y, z] on R. The top of a solid is the domed surface z = 8 - x^2 - y^2 , and the bottom is the paraboloid z = x^2 + y^2 . The density p[x, y, z] at a point {x, y, z} in the solid is proportional to the distance of {x, y, z} from the plane z = 0, so for z ≠ 0, p[x, y, z] = c z, where c is a positive constant of proportionality. Calculate the center of mass {Subscript[x, μ], Subscript[y, μ], Subscript[z, μ]} of the solid.