Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.1 - Three-Dimensional Coordinate Systems - Exercises 12.1 - Page 696: 37

Answer

$z\leq 0$

Work Step by Step

The xy plane is described with $z=0.$ (x and y coordinates without restriction) $z=k$ are planes parallel to the xy plane, and we want the planes below the xy-plane. That is, we want $z=k,\quad k\leq 0$ or, simply $z\leq 0$
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