Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.6 - Cylinders and Quadric Surfaces - Exercises 12.6 - Page 732: 40

Answer

Elliptical cone. See image: .

Work Step by Step

Comparing to Table 12.1, we recognize the form of an elliptical cone, with x and z interchanged. The x-axis is the axis of the cone, and the intersections with the planes parallel to $x=0$ (the yz plane) are ellipses.
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