University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 13 - Practice Exercises - Page 751: 61

Answer

$15.83 \% $

Work Step by Step

We can write as: $dI=\dfrac{dV}{R}-\dfrac{V \ dR}{R^2}$ and at $(24,100)$, we have: $dI=\dfrac{dV}{100}-\dfrac{24 \ dR}{(100)^2}$ When $v=-1, dR=-20$ So, $dI=-0.01+480(0.0001)=0.038$ The estimated change in $I$ is: $I=\dfrac{dI}{I} \times 100=\dfrac{0.038}{0.24} \times 100 \approx 15.83 \% $
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