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A2. Consider the plane that intersects the coordinate axes at (41,0,0), (0, b, D), and (0, 0, c) where a, b, c > 0. The region in the rst octant bounded by this plane and the planes as = O, y = 0 and z = 0 forms a tetrahedron. (a) If the tetrahedron has uniform density p(3:, y, z) = 1, use a triple integral to verify the mass of this tetrahedron is abc. (In this case the mass is the volume, so you are verifying that the volume formula for a tetrahedron With length/width/height equal to a, b and c is V = gabc. This was a fact used in the assignment question 14.7 #60.) (b) If the tetrahedron has density p(2c, y, z) = 2:, use a triple integral to nd the mass of the tetrahedron. (c) Which tetrahedron has larger mass, the one in part (a) or the one in part (b)