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 1 - Ingredients of Change: Functions and Limits - 1.7 Activities - Page 74: 27


$ g(x(w)) =4\sqrt{7} e^{w}$ and $g(x(w)) =4\sqrt{7} e^{2}$

Work Step by Step

Given $$ g(x)=\sqrt{7 x^{2}} ; x(w)=4 e^{w} $$ Since $g(x(w))$ given by \begin{align*} g(x(w))&=\sqrt{7 (x(w))^{2}} \\ &=\sqrt{7 (4 e^{w})^{2}} \\ &=4\sqrt{7} e^{w} \end{align*} and $g(x(w)) =4\sqrt{7} e^{2}$
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