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). Determine the set Tp(Zf) of all tangent vectors to Zf at p. Is dim Tp(S) m ker d f.?

). Determine the set Tp(Zf) of all tangent vectors to Zf at p. Is dim Tp(S) m ker d f.?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Problem 4. Consider the zero set Zf C R³ of the function z² – (x² + y²)² and let p = (0,0,0). Determine the set Tp(Zf) of all tangent vectors to Z¡ at p. Is dim Tp(S) equal to dim ker dfp?
Transcribed Image Text:Problem 4. Consider the zero set Zf C R³ of the function z² – (x² + y²)² and let p = (0,0,0). Determine the set Tp(Zf) of all tangent vectors to Z¡ at p. Is dim Tp(S) equal to dim ker dfp?
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