Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 14 - Partial Derivatives - Review - Concept Check - Page 1021: 2

Answer

See the explanation below.

Work Step by Step

A function is considered to be written as $f(x,y,z)$ with three variables $x,y$ in a set of domain D of real numbers. A contour map is the best method for visualizing a function of two variables. It consists of level surfaces such as $f(x,y,z)=p$ (p=a constant term). These are horizontal traces of the graph of the function which shows the projection onto the $xyz$ plane.
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