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: 2

Answer

Hyperboloid of one sheet as shown in graph (i).

Work Step by Step

Given: $z^2+y^2-4x^2=4$ ...(1) or, $\dfrac{z^2}{(2)^2}+\dfrac{y^2}{(2)^2}-x^2=1$ ...(2) Hence, the equation (2) shows a graph for Hyperboloid of one sheet as shown in graph (i).
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