Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 2 - Describing Change: Rates - 2.3 Activities - Page 157: 6

Answer

a. No, because $C(90)$ gives the number of bushels of corn which can only, at lowest, be 0. b. Bushels of Corn c. Yes because $\frac{dw}{dt}|_{f=90}$ is the number of bushels per week and it can be negative if it is decreasing.

Work Step by Step

a. We know that $C(90)$ cannot be negative because you cannot have less that 0 bushels of corn. b. We can see that the units are bushels of corn by looking at the question. c. We can see that $\frac{dw}{dt}|_{f=90}$ can be negative because the number of bushels per week can be decreasing from the last week.
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