Surfaces of the Form $ G(x,y,z)=0 $

Surfaces of the Form $ G(x,y,z)=0 $

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Based on CLP Calculus Textbooks by Joel Feldman, Andrew Rechnitzer and Elyse Yeager, licensed underCC BY-NC-SA 4.0.

Adapted for use with Socratic AI tutor by Danil Platonov.

Link to the original chapter: https://personal.math.ubc.ca/~CLP/CLP3/clp_3_mc/sec_tangent_planes.html.

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Learn about surfaces of the form $ g(x,y,z)=0 $

Teacher

So, what do you already know about surfaces of the form g(x,y,z)=0g(x,y,z)=0?