2 2 2 Fix mint: 3:: I]. Consider the ellipsoid E = {(5.31}, z} E R3 | :2 + i, + E2 = 1}_ to} Prove that E is a smooth surface. (Hint: Adapt the surface patches for the sphere which were given in exercise 4.1.2.} {o} Compute one of the {nontrivial} transition maps between allowable patches in 1your atlas. b {c} Find the tangent plane TPE for p = [I], \"5 , i)