Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.7 Cylindrical and Spherical Coordinates - Exercises - Page 700: 65


$$\rho= 2\sec \phi.$$

Work Step by Step

We apply the equations of this section (page 699). We have $z=\rho \cos \phi=2$. Thus: $$\rho=\frac{2}{\cos \phi}=2\sec \phi.$$
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