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.
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Tangent Surfaces
In Exercises 43 and 44, show that the surfaces are tangent to each other at the given point by showing that the surfaces have the same tangent plane at this point.
Tangent Plane
Let be a differentiable function of one variable. Show that all tangent planes to the surface intersect in a common point.
