Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 12 - Section 12.1 - Three-Dimensional Coordinate Systems - 12.1 Exercises: 41

Answer

$r^2 < x^2+y^2+z^2 < R^2$

Work Step by Step

"between (but not on)...": "spheres of radius r and R centered at the origin": $x^2+y^2+z^2 [< or >] r^2$ $x^2+y^2+z^2 [< or >] R^2$ "r < R": $r^2 < x^2+y^2+z^2 $ $x^2+y^2+z^2 < R^2$ Combine these statements to get: $r^2 < x^2+y^2+z^2 < R^2$
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