Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 5 - Applications of Integration - 5.5 Average Value of a Function - 5.5 Exercises - Page 391: 14

Answer

$b=1$

Work Step by Step

$$\frac{f(b)-f(0)}{b-0}=3$$ $$\frac{2+6b-3b^{2}-2}{b}=3$$ $$\frac{6b-3b^{2}}{b}=3$$ $$6-3b=3$$ $$3b=6-3$$ $$3b=3$$ $$b=1$$
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