'oblem 12. (11.652) Show that the ellipsoid 3.14:2 + 2y2 + -3 = 9 and the sphere x3 + y2 + :2 8x 6y 8: + 24 = 0 are tangent to each other at the point (1,1,2) . (This means that they have a common tangent plane at the point.)