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: 17

Answer

See image:
1577207956

Work Step by Step

In the xy plane $(z=0)$: $\displaystyle \frac{x^{2}}{1^{2}}+\frac{y^{2}}{3^{2}}=1\qquad$ ... ellipse In the xz plane ($y=0)$ $\displaystyle \frac{x^{2}}{1^{2}}+\frac{z^{2}}{3^{2}}=1\qquad$ ... ellipse In the yz plane $(x=0):$ $ y^{2}+z^{2}=3^{2}\qquad$ ... circle
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.