Answer
Ellipsoid.
Work Step by Step
The equation can be rewritten in the form
$$
\left(\frac{x}{3}\right)^{2}+\left(\frac{y}{4}\right)^{2}+\left(\frac{z}{1/\sqrt{2}}\right)^{2}=1
$$
which is an ellipsoid.
(See equations on page 691-692.)
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 13 - Vector Geometry - Chapter Review Exercises - Page 703: 53
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