Consider the solid λ bounded by the xz-plane, the yz-plane, the plane z = −1, the plane x+y = 3, and the cylinder z = 8 − x2 as shown in the picture attached.  Let C be the volume of the solid λ, and suppose that the density at each point (x, y, z) in λ is given by δ(x, y, z) = 3. Express the x-coordinate of the center of mass of λ in terms of C, W, and constants.

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