University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 13 - Section 13.2 - Limits and Continuity in Higher Dimensions - Exercises - Page 691: 35


a) For all (x,y,z) b) For all (x,y,z) except the interior of the cylinder $x^2+y^2=1$

Work Step by Step

a) Since there are no fractions or square roots, all values are allowed. b) We must make sure that the radical does not contain a negative: $x^2+y^2-1\ge 0$. Thus $x^2+y^2\ge 1$ (points outside the cylinder or on its surface).
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