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: 10


Elliptic paraboloid

Work Step by Step

The equation $$4z=9x^2+5y^2$$ can be rewritten as follows $$ z=\left(\frac{x}{2/3}\right)^{2}+\left(\frac{y}{1/\sqrt{3}}\right)^{2} $$ which is an equation of an elliptic paraboloid with $ a=2/3, b=1/\sqrt{3}$ (see equations on page 691).
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