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: 61

Answer

Graph: C Contour map: II

Work Step by Step

Graph is C First, the value of the function must be 0 along the lines x=0 and y=0. Next, we know the graph is sinusoidal when either x or y is a constant value and the other is a variable. Contour map is II As we can see from the graph of C, the values along the top edge of the surfaces have the same z value. We can also see this from the cross section where either x or y is constant. The sinusoidal function has the same maximum value as it's value changes periodically.
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