Given the function (y=a b / c), where (a, b), and (c) are independent variables with random

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Given the function \(y=a b / c\), where \(a, b\), and \(c\) are independent variables with random errors of \(s_{a}, s_{b}\), and \(s_{c}\), show that using the general error propagation formula one obtains the specific result \(\left(s_{y}ight)_{r}=\sqrt{\left(s_{a}ight)_{r}^{2}+\left(s_{b}ight)_{r}^{2}+\left(s_{c}ight)_{r}^{2}}\).

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Advanced Mathematics For Engineering Students The Essential Toolbox

ISBN: 9780128236826

1st Edition

Authors: Brent J Lewis, Nihan Onder, E Nihan Onder, Andrew Prudil

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