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: 7

Answer

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

Work Step by Step

Since, we have the points that are the intersection between the equation of cylinder $x^2+z^2=4$ and the plane $y=0$. The set of points that satisfies such equations will have the equation of a circle $x^2+z^2=4$ in the $xz$ plane, whose center is at origin $O$ and having circle of radius $2$ .
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