14. Consider the same solid region E as in the previous problem. Suppose an object occupies this solid tetrahedral region with density at each point in the solid equal to 3 times the distance of that point from the x, z-plane. Set up and evaluate triple integrals for the mass and the coordinates of the center of mass. 15. Consider the solid region E bounded by x = y, z=4-x and z = -5 with y 1. Set up but do NOT evaluate the triple integral for the moment of inertia about the y-axis of a solid occupying E, if the density at any point in the solid (x, y, z) is one more than the distance from that point from the origin, in m/kg.