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: 3

Answer

An elliptical cylinder as shown in graph (a)

Work Step by Step

Given: $y^2+z^2=16$ ...(1) Re-write as: $\dfrac{y^2}{(4/3)^2}+\dfrac{z^2}{(4)^2}=1$ ....(2) Hence, the equation (2) shows a graph for an Elliptical cylinder as shown in graph (a).
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