Answer
See image:
Work Step by Step
Level curves have the form:
$k=y\sec x$
$y=\displaystyle \frac{k}{\sec x}, \quad x\neq\frac{\pi}{2} +m\pi, m\in \mathbb{Z}$.
$y=k\displaystyle \cos x\quad x\neq\frac{\pi}{2} +m\pi, m\in \mathbb{Z}$.
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 14 - Partial Derivatives - 14.1 Exercises - Page 914: 48
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