Calculus: Early Transcendentals 8th Edition

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

Chapter 2 - Section 2.7 - Derivatives and Rates of Change - 2.7 Exercises - Page 150: 45

Answer

The initial rate of change of the temperature is greater in magnitude than the rate of change after one hour.

Work Step by Step

We can see that the warm soda cools at a faster rate initially, and then cools at a slower rate as time passes. The initial rate of change of the temperature is greater in magnitude than the rate of change after one hour.
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