30. A solid in the first octant is bounded by the planes y = 0 and z = 0 and by the surfaces z = 4 - x² and x = y? (see the accompany- ing figure). Its density function is 8(x, y, z) = kxy, k a...

Find the mass of the solid and the venter of mass using triple integrals (this is not a physics question)

Extracted text: 30. A solid in the first octant is bounded by the planes y = 0 and z = 0 and by the surfaces z = 4 - x² and x = y? (see the accompany- ing figure). Its density function is 8(x, y, z) = kxy, k a constant. 2 = 4 -x? x= y? (2. V2, 0)