Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 14 - Section 14.1 - Functions of Several Variables - 14.1 Exercise - Page 950: 63

Answer

Graph is F Contour map is I

Work Step by Step

Graph is F When $x=y$, the value of the function is 0, which is true for Graph F. Moreover, when we have $x-y=constant$, we have a constant, which makes sense because $sin(constant)$ is a constant. Contour map is I As we noted above, when $x-y=constant$, we have a constant. Therefore, the contour lines must be lines such that $x-y=constant$.
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