College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises - Page 405: 99

Answer

(a). $P=P_0e^{-\frac{h}{k}},$ (b). $P=56.472$

Work Step by Step

$\ln \left(\frac{P}{P_0}\right)=-\frac{h}{k}$ $k=7, P_0=100kpa$ (a). $e^{\ln {\frac{P}{P_0}}}=e^{-\frac{h}{k}},$ $\frac{P}{P_0}=e^{-\frac{h}{k}},$ $P=P_0e^{-\frac{h}{k}},$ (b).$h=4,$ $P=100e^{-\frac{4}{7}},$ $P=56.472$
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