Let E be the solid in the first octant bounded by the cylinder x² + y² = 1 and the planes y = z, x = 0, and z = 0 with the density function p(x, y, z) = 1 + x + y + z. Use a computer algebra system to find the exact values of the following quantities for E.
(a) The mass
(b) The center of mass
(c) The moment of inertia about the z-axis