Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 14 - Partial Derivatives - 14.1 Exercises - Page 914: 37

Answer

The terrain around A is much steeper.

Work Step by Step

Point A is found a little to the right and below "MTN", where the curves are very closely spaced, indicating a change in altitude in a relatively small linear distance (say, a line through A and the peak). This is a very steep terrain. Point B is an area where curves are farther apart from each other, so altitude changes gradually, much less steep than the region around A. The terrain around A is much steeper.
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