Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Practice Exercises - Page 179: 93

Answer

a. $0$ and $0$ b. $1700$ and $1400$

Work Step by Step

a. Reading the population graph, the maximum of rabbit population occurred at $x=40$ days; its derivative is $0$ (read from second figure), and the minimum of rabbit population occurred at $x=200$ days; its derivative is $0$ (read from second figure). b. Reading the derivative graph, the maximum of the derivative occurred at $x=20$ days, which corresponds to a rabbit population of $1700$, and the minimum of the derivative occurred at $x=62$ days, which corresponds to a rabbit population of about $1400$.
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