Problem Find the umbilical points of the ellipsoid \( x^{2}/a^{2}+y^{2}/b^{2}+z^{2}/c^{2}=1 \) . The ellipsoid in may be parametrized as \[ \begin{align} p(u,v)=(a\cos u\cos v,b\cos u\sin v,c\sin u) \end{align} \] Solution Partial differen…