Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 3 - Section 3.1 - Derivatives of Polynomials and Exponential Functions - 3.1 Exercises - Page 182: 55

Answer

$\frac{dL}{dA}\Big |_{A=12}=1.718$ This means at age 12, the length of the Alaskan rockfish is increasing at a rate of 1.718 inches per year.

Work Step by Step

$\frac{dL}{dA}=0.0465A^2-0.744A+3.95$ When $A=12$, $\frac{dL}{dA}=0.0465(12)^2-0.744(12)+3.95=6.696-8.928+3.95=1.718$ This means at age 12, the length of the Alaskan rockfish is increasing at a rate of $1.718$ inches per year.
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