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: 26

Answer

$\approx 585.35$kg

Work Step by Step

Consider the equation $A=A_0e^{k t}$ As we are given that $A_0=1000$ and $A= 800$ Then, we have $k=\dfrac{\ln (0.8)}{10}$ or, $A=(1000) e^{\dfrac{\ln (0.8)t}{10}}$ After another $t = 14 hours$ , we have $t=14+10 =24$ Thus, $A= (1000) e^{[\frac{\ln (0.8)(24)}{10}]} \implies A \approx 585.35$kg
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