Solution: Planes Tangent to Parametrized SurfacesThe tangent

Chapter 16, Problem 30E

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Problem 30E

Planes Tangent to Parametrized Surfaces

The tangent plane at a point on a parametrized surface  is the plane through normal to the vector  the cross product of the tangent vectors In Exercises, find an equation for the plane tangent to the surface at P0. Then find a Cartesian equation for the surface and sketch the surface and tangent plane together.

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