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 913: 34

Answer

$ a.\quad $ Chicago 1013 mb, Nashville: 1012 mb San Francisco: 1010 mb. Vancouver: 1017 mb $b.\quad $San Francisco.

Work Step by Step

a. Chicago (C) lies between curves with values 1012 and 1016, about a quarter of the distance, and closer to the 1012 curve. Estimate: 1013 mb. Nashville (N) is very close to the curve 1012. Estimate: 1012 mb. San Francisco (S) is halfway between curves 1008 and 1012. Estimate: 1010 mb. Vancouver (V) is not quite on the 1016 curve, positioned on the larger side. Estimate: 1017 mb. b. After looking up "wind and isobars" in a search engine, the information retrieved is that winds are stronger where air pressure has large changes, and this occurs where the isobars are closely spaced. So, seeing that curves around (S) are the most closely spaced, the winds would be strongest at San Francisco.
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