(A) describe the coordinate surfaces and coordinate curves for the system $x^2-y^2=2u_1\cos(u_2)$, $xy=u_1\sin(u_2)$, $z=u_3$.
(B) show the system is orthogonal
(C) determine $J(x,y,z)/(u1,u2,u3)$ for the system
(D) show that $u_1$ and $u_2$ are related to the cylindrical coordinate Roe and phi and determine the relationship