Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.2 - The Natural Exponential Function - 4.2 Exercises - Page 342: 23

Answer

approximately $27.44$ milligrams

Work Step by Step

So, we have a function of $D(t)=50e^{-0.2t}$ Simply inputing $t$ hours in the expression will give us the number of milligrams remaining in the patient's bloodstream after that specific $t$ hours. For $t=3$ $D(3)=50e^{-0.2\times3}=50e^{-0.6}\approx27.44 milligrams$
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