Question: 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

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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We can use the general error propagation formula to show that the relative error in y y is a2 b2 c2 ... View full answer

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