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: 15

Answer

See image:
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Work Step by Step

In the plane xz, ($y=0)$ the surface leaves an ellipse as a trace. $\displaystyle \frac{x^{2}}{4^{2}}+\frac{z^{2}}{2^{2}}=1$ Draw several such ellipses in planes parallel to xz.
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