An ellipsoidal coordinate system is similar to spherical coordinates, but stretched in each dimension. consider the half-ellipsoid corresponding to a z > 0 hemisphere centered at the origin stretched by factors of kr, ky and kz along the x, y and z-axes respectively. a. give the parameterization of the curved surface r(u, v). include bounds on your parameters u and v. b. give the values of your free parameters (u and v) corresponding to the points i. (kx,0,0); ii. (0, ky, 0); and iii. (0,0, kz).