Calculus 8th Edition

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

Chapter 14 - Partial Derivatives - Review - Exercises - Page 1022: 5

Answer

The several level curves are as depicted below:
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Work Step by Step

The level curves for $f(x,y)=\sqrt{4x^2+y^2}$ are of the form: $4x^2+y^2=c^2$ Thus, the level curves are ellipse. In order to get the contour map, we will take different values of $c$.
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