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: 25


$f(t(p)) =3 e^{4 p^{2}}$ and $f(t(2)) =3 e^{16}$

Work Step by Step

Given $$ f(t)=3 e^{t} ; t(p)=4 p^{2} $$ Since $f(t(p))$ is given by \begin{align*} f(t(p))&=3 e^{p(t)} \\ &=3 e^{4 p^{2}} \end{align*} and $f(t(2)) =3 e^{16}$
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