Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 12 - Section 12.6 - Cylinders and Quadric Surfaces - 12.6 Exercises - Page 839: 7

Answer

Hyperbolic Cylinder

Work Step by Step

The graph of \(x \cdot y = 1\) is a hyperbolic cylinder extending along the \(z\)-axis. Cross-sections parallel to the \(xy\)-plane are hyperbolas with asymptotes along the \(x\)- and \(y\)-axes.
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