Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 7: Transcendental Functions - Section 7.4 - Exponential Change and Separable Differential Equations - Exercises 7.4 - Page 401: 25

Answer

$\approx 54.88$gm

Work Step by Step

Consider the exponential growth as follows: $\dfrac{dy}{dt}=-0.6y$ Also, $y=y_0e^{-(0.6 t)}$ As we are given that $y_0=100$ and when $t = 1$ hour Then, we have $y=(100)[e^{-0.6 t}]$ or, $y=(100) e^{-0.6(1)} \implies y \approx 54.88$gm
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