Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 7 - Ingredients of Multivariable Change: Models, Graphs, Rates - 7.3 Activities - Page 558: 13

Answer

\begin{align*} (a)& \ m_s= \ln t+3.75 \\ (b)&\ m_t= \frac{s}{t}\\ (c) &\ m_s\bigg|_{t=3}= \ln (3)+3.75 \end{align*}

Work Step by Step

Given $$m(t, s)=s \ln t+3.75 s+14.96 $$ Since \begin{align*} (a)& \ m_s= \ln t+3.75 \\ (b)&\ m_t= \frac{s}{t}\\ (c) &\ m_s\bigg|_{t=3}= \ln (3)+3.75 \end{align*}
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