## Thomas' Calculus 13th Edition

Published by Pearson

# Chapter 12: Vectors and the Geometry of Space - Section 12.6 - Cylinders and Quadric Surfaces - Exercises 12.6 - Page 732: 30

#### Answer

Hyperboloid of two sheets

#### Work Step by Step

The equation has the form a Hyperboloid of two sheets, as found in Table 12.1, with variables y and z interchanged. The hyperboloid opens along the y-axis. Cross sections with planes $y=k$ are ellipses. Cross sections with planes parallel to $x=0, z=0$, are hyperbolas.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.