Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.4 Exponential Growth and Decay - Exercises - Page 349: 4

Answer

$$ f(t)=9 e^{1.4 t}=9 (e^{1.4 })^t=P_0 b^t $$ where, $ P_0=9$ and $ b=e^{1.4}$.

Work Step by Step

Using the property that $ e^{xy}=(e^{x})^y $, we have $$ f(t)=9 e^{1.4 t}=9 (e^{1.4 })^t=P_0 b^t $$ where, $ P_0=9$ and $ b=e^{1.4}$.
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