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 599: 6

Answer

Circle with equation $x^2+y^2=4$ in the $z=-2$ plane.

Work Step by Step

Here, the points are the intersection between the equation of cylinder $x^2+y^2=4$ and the plane $z=0$. The set of points that satisfies such equations has the equation of a circle lying in the xy plane, centered at origin $O$, having a circle of radius $2$ and shifted two points down from the xy plane.
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