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 14.2 - Limits and Continuity in Higher Dimensions - Exercises 14.2 - Page 796: 31

Answer

a) for all (x,y) b) for all (x,y) except (0,0)

Work Step by Step

a) As we know that $\sin t$ is defined for all real numbers. Therefore, it is defined for all $(x,y)$ b) Since, $\ln t$ is defined for positive real numbers, that is, for all (x,y) except for $(0,0)$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.