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: 19


Refer answer below.

Work Step by Step

a. Domain : The is set of all $(x,y)$ when $y -x \geq 0 \implies y \geq x$. b. Range is given as: $z\geq 0$ c. Level Curves: We have for $f(x,y)=0 \rightarrow$ origin and for $f(x,y)=c$; ellipses with center (0,0) and major and minor axes along $xy$-axes. d. No Boundary points e. Both Open and Closed f. Unbounded
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