Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 14: Partial Derivatives - Section 14.1 - Functions of Several Variables - Exercises 14.1 - Page 787: 36

Answer

$b$

Work Step by Step

In the graph $b$ of 3D surface it has been seen that in the surface there is a wave that goes from one side to the other. Therefore, this tells us that the graph of 2D level curves has lines curved more when it travels along the axes . The level curves has less curved when it moves furthest away from them which are in the middle of the quadrants as shown in the graph $b$.
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