University Calculus: Early Transcendentals (3rd Edition)

by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.

Published by Pearson

ISBN 10: 0321999584

ISBN 13: 978-0-32199-958-0

Chapter 11 - Section 11.1 - Three-Dimensional Coordinate Systems - Exercises - Page 599: 15

Answer

A parabola in the xy-plane.

Work Step by Step

$z=0$ is the xy-plane $y=x^{2}$ intersected with any plane $z=k$, is a parabola. So this is (see image below) a parabola in the xy-plane.

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