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: 11

Answer

circle $x^2+y^2=16$ in $z=0$

Work Step by Step

Since we have two equations that shows the intersection between the equation of sphere $x^2+y^2+(z+3)^2=25$ and a plane $z=0$. Re-write the equation of sphere as: $x^2+y^2+(0+3)^2=25 $ or, $x^2+y^2=16$ Thus, we have the set of points that satisfies the equation of a circle $x^2+y^2=16$ in $z=0$ center: $(0,0,0)$ with radius of $4$ .
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