Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.6 - Rational Functions and Their Graphs - Exercise Set - Page 400: 102

Answer

a. 1.5 mg/L b. $C(3)= 1.5\ mg/L$ c. $y=0$. See explanations.

Work Step by Step

a. Based on the given graph, we can get a concentration value about 1.5 mg/L at $t=3$ hours. b. Using the equation, we have $C(3)=\frac{5(3)}{3^2+1}=1.5\ mg/L$ c. As $t\to\infty$, we have $C\to0$; thus the horizontal asymptote can be found as $y=0$. This means that the drug concentration will approach to zero as time increases.
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