Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Section 4.2 - The Mean Value Theorem - Exercises 4.2 - Page 198: 50


$79.5$ it is greater than $65$

Work Step by Step

Suppose $s(t)$ is the distance covered by the trucker at time $t$. Thus, $s(0)=0$ and $s(2)=159$ Need to use The Mean Value Theorem to calculate the velocity at time $t$. This states that $|v(t)|=|s'(t)|=|\dfrac{f(b)-f(a)}{(b-a)}|$ or, $|\dfrac{s(2)-s(0)}{(2-0)}|=\dfrac{159}{2}=79.5$ it is greater than $65$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.