1. consider the solid tetrahedron determined by (0,0,0), (0,0,1),
(0,root13,0), (root2, root13, 0). SET UP the triple integrations so that its volume = triple integral of dy*dx*dz, and triple integral of dz*dy*dx.
is asking for the limit boundaries.
please explain step by step, i have the answers, but i dont' know how to get there.
2. find the center of mass of the solid above z = root(x^2+y^2) and below x^2 + y^2 + z^2 =4, and the density at a point equals the z-coordinate of the point.
i believe the center of mass = moment/mass.
with this problem please also explain step by step, and state all the equations you used.