Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 14 - Partial Derivatives - 14.1 Functions of Several Variables - 14.1 Exercises - Page 942: 62


This function is shown on A and IV

Work Step by Step

The graph of this function is on the graphs A and IV. Namely, we see that this function oscillates only along the $y$ axis, while its amplitude increases along the $x$ axis. This is also seen on the graph IV -- the periodicity in the $y$ direction is easily seen, while as $x$ increases, so does the density of the level curves because the rate of change is more intense (the function oscillates with the same period but with greater amplitude so it changes more in value).
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