Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - Exercises for Skills for Factoring - Page 135: 94

Answer

$l=\frac{gT^2}{4\pi^2}$

Work Step by Step

First, divide both sides of the equation by $2\pi$ to get $$\frac{T}{2\pi}=\sqrt{\frac{l}{g}}$$ Next, square both sides to get $$\left(\frac{T}{2\pi}\right)^2=\frac{T^2}{4\pi^2}=\frac{l}{g}$$ Finally, multiply both sides by $g$ to get $$l=\frac{gT^2}{4\pi^2}$$
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