Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - Chapter Review Exercises - Page 703: 55

Answer

Elliptic paraboloid.

Work Step by Step

The equation can be rewritten in the form $$ z= \left(\frac{x}{3\sqrt{2}}\right)^{2}+\left(\frac{y}{4\sqrt{2}}\right)^{2} $$ which is an elliptic paraboloid. (See equations on page 691-692.)
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