Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 14 - Partial Derivatives - 14.1 Exercises - Page 915: 61

Answer

a. $\mathrm{F}$ b. $\mathrm{I}$

Work Step by Step

When $x=y$ (the plane $x-y=0)$, the function $f(x,y)$ is constant. It is constant along every plane parallel to it ($x-y-k=0).$ This is graph F, and the level curves associated with it are (I).
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