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 1 - Ingredients of Change: Functions and Limits - 1.2 Activities - Page 21: 27

Answer

a) Numerical Estimation: for $x=5$: $f(5)\approx77.797$ for $x=10$: $f(10)\approx67.010$ for $x=20$: $f(20)\approx61.088$ for $x=40$: $f(40)\approx60.026$ for $x=80$: $f(80)\approx60.000$ for $x=160$: $f(160)\approx60.000$ $\lim\limits_{x \to \infty}f(x)=60.000$ b) $y=60.00$ c) This mathematical model shows that the number of farms with milk cows in the United States will decrease to 60 (thousand).

Work Step by Step

a) Direct calculations b) Observation of the graph c) Direct answer
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