Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 6 - Section 6.4 - Work - 6.4 Exercises - Page 459: 7

Answer

$\frac{15}{4}$(ft-lb)

Work Step by Step

$f(x) = kx$ $x = \frac{4}{12}$, $f(\frac{4}{12})=10$ $k=30$ $f(x)=30x$ $W =$ $1/2$ $ \int30x dx$ $0$ $=15(1/2)^{2}$ $= \frac{15}{4}$(ft-lb)
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