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: 12


An Ellipsoid as represented by $\bf{Graph(c)}$

Work Step by Step

Given: $9x^2+4y^2+2z^2=36$ ....(1) Re-write as: $\dfrac{9x^2}{36}+\dfrac{4y^2}{36}+\dfrac{2z^2}{36}=1$ or, $\dfrac{x^2}{(2)^2}+\dfrac{y^2}{(3)^2}+\dfrac{z^2}{(3 \sqrt 2)^2}=1$ ....(2) Thus, the equation (2) shows a graph for an Ellipsoid as represented by $\bf{Graph(c)}$.
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.