University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 11 - Section 11.1 - Three-Dimensional Coordinate Systems - Exercises - Page 600: 28


a) $x^2+y^2=4^2 ; z=0$ b) $y^2+z^2=4; x=0$ c) $x^2+z^2=4; y=0$

Work Step by Step

Definition: The equations of a circle having radius $r$ with center at origin and lying in the xy-plane, yz-plane and xz-plane are represented as: $x^2+y^2=r^2$ when z=0 , $y^2+z^2=r^2$ when x=0 and $x^2+z^2=r^2$ when y=0 Thus, we have: a) $x^2+y^2=4^2 ; z=0$ b) $y^2+z^2=4; x=0$ c) $x^2+z^2=4; y=0$
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