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: 64

Answer

Graph: E Contour map: III

Work Step by Step

Graph is E When $x=y$, the value of the graph must be 0. Moreover, when either x or y is constant and the other a variable, we will have sin functions. This means the x and y cross sections of the graph must be sin functions, as is true for Graph E. Contour map is III We can imagine taking horizontal cross sections. The contour lines will be around the hill like regions. Thus, it must be III.
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