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: 7


An Elliptical cylinder along y-axis as shown in $\bf{Graph(b)}$

Work Step by Step

Given: $x^2+2z^2=8$ ....(1) Re-write as: $\dfrac{x^2}{(2 \sqrt 2)^2}+\dfrac{z^2}{(2)^2}=1$ ...(2) Hence, the equation (2) shows a graph for an Elliptical cylinder along y-axis as shown in $\bf{Graph(b)}$
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