Answer
$±0.45$ $atmospheres$
Work Step by Step
$PV$ = $24$
$P(V)$ = $24V^{-1}$
$P'(V)$ = $-24V^{-2}$
$P'(V)$ = $\frac{ΔP}{ΔV}$
$ΔP$ = $P'(V)ΔV$
$ΔP$ = $-24V^{-2}ΔV$
$ΔP$ = $-24(4)^{-2}(±0.3)$
$ΔP$ = $±0.45$ $atmospheres$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 4 - Applications of the Derivative - 4.1 Linear Approximation and Applications - Exercises - Page 174: 43
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