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: 23


Elliptic paraboloid with the equation $$ y= \left(\frac{x}{2}\right)^{2}+\left(\frac{z}{4}\right)^{2}.$$

Work Step by Step

The equation of the new surface after the rotation about the $ x $ axis by $90^o $ will be an elliptic paraboloid with the equation $$ y= \left(\frac{x}{2}\right)^{2}+\left(\frac{z}{4}\right)^{2}.$$
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