Find the extreme values of f(x,y,z) = x2yz + 1 on the intersection of the plane 2 = 6 with the sphere x2 + y2 + 22 =60. The minimum of f(x,y,z) on the domain is 1 - 1921/5 . (Type an exact answer, using radicals as needed.) The maximum of f(x,y,z) on the domain is '1. (Type an exact answer, using radicals as needed.)