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: 20


Parabolic cylinder, the trace is the set of two lines $ x=\pm 3$.

Work Step by Step

The equation $$ y=3x^2 $$ is the equation of a parabolic cylinder. (See equations on page 691.) The trace with the plane $ y=27$ is $ x^2=9 $; that is, the lines $ x=\pm 3$.
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