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: 22

Answer

Refer below.

Work Step by Step

a. Domain : The set of all $(x,y)\ne (0,y)$ b. Range: Real numbers c. Level Curves: The level curves are the x-axis minus origin when $f(x,y)= 0$ and the parabolas $y=cx^2$ minus origin for $f(x,y)=c \ne 0$ d. Boundary point is the line $x=0$ e. Open only f. Unbounded
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