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: 20


Refer answer below.

Work Step by Step

a. Domain : This is the set of all points lie in the xy -plane. b. Range: A set of all Real numbers c. Level Curves: These are $f(x,y)=0 \rightarrow y \pm x$ and for $f(x,y)=c\ne 0$. These are the hyperbolas having center (0,0) and focus on the x-axis when $c\gt 0$ as well as the other at the y-axis when $c \lt 0 $ d. No Boundary points e. Both Open and Closed f. Unbounded
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