Consider the surface described by the equation 3 x³ + y³ + z² = 1. xyz a. Check that this surface can be represented as the graph of some function g = g(x, y) in a neighborhood of the point (0, 0, 1). b. Compute Vg(0,0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 30RE
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Consider the surface described by the equation
3
x³ + y³ + z²
=
1.
xyz
a. Check that this surface can be represented as the graph of some function
g = g(x, y) in a neighborhood of the point (0, 0, 1).
b. Compute Vg(0,0).
Transcribed Image Text:Consider the surface described by the equation 3 x³ + y³ + z² = 1. xyz a. Check that this surface can be represented as the graph of some function g = g(x, y) in a neighborhood of the point (0, 0, 1). b. Compute Vg(0,0).
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