Calculus (3rd Edition)

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

Chapter 13 - Vector Geometry - 13.6 A Survey of Quadratic Surfaces - Exercises - Page 692: 7

Answer

Elliptic paraboloid

Work Step by Step

The equation $$ z=\left(\frac{x}{4}\right)^{2}+\left(\frac{y}{3}\right)^{2} $$ is the standard equation of an elliptic paraboloid with $ a=4, b=3$ (see equations on page 689).
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