Let’s look at some gravitational potentials and the density profiles that can generate them. i) for rho(r) = rho◦r 2 ◦/r2 , what is the corresponding gravitational potential? ii) for φ(r, z) = φ◦ ln[ r 2 ◦+r 2+z 2/q2 r2 ◦ ], what is the corresponding density profile rho(r, z)? in this expression, the constant q controls the axis ratio of the potential, where q = 1 would be spherically symmetric and q < 1 means that the potential is "flattened" a bit along the z-axis. does something strange happen at large distances along the z axis if q < 0.7 ?