Let P = ( 0 , 0 , 2 ) and let S be the unit sphere with equation x2+y2+z2=1. The collection of points on the sphere where the tangent plane of the sphere contains the point P forms a curve. Parametrize this curve.
Let P = ( 0 , 0 , 2 ) and let S be the unit sphere with equation x2+y2+z2=1. The collection of points on the sphere where the tangent plane of the sphere contains the point P forms a curve. Parametrize this curve.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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Let P = ( 0 , 0 , 2 ) and let S be the unit sphere with equation x2+y2+z2=1. The collection of points on the sphere where the tangent plane of the sphere contains the point P forms a curve. Parametrize this curve.
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