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 695: 6

Answer

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

Work Step by Step

Since, we have the equation of cylinder $x^2+y^2=4$ and the plane $z=0$ and the points are the intersection between these equations. The set of points that satisfies the given two equations will have the equation of a circle shifted two points down lying in the xy plane with origin $O$ as center and a circle of radius $2$.
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