MATH 367 Lecture 4: Tangent planes

Perpendicular Tangent Planes

In Exercises 45 and 46, (a) show that the surfaces intersect at the given point and (b) show that the surfaces have perpendicular tangent planes at this point.

Perpendicular Tangent Planes

In Exercises 45 and 46, (a) show that the surfaces intersect at the given point and (b) show that the surfaces have perpendicular tangent planes at this point.

Tangent Planes of a Cone

Show that any tangent plane to the cone

passes through the origin.