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).
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 - 13.6 A Survey of Quadratic Surfaces - Exercises - Page 692: 7
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