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Estimating maximum error Suppose that T is to be found
Chapter 13, Problem 49E(choose chapter or problem)
Estimating maximum error Suppose that \(T\) is to be found from the formula \(\mathrm{T}=\mathrm{x}\left(\mathrm{e}^{\mathrm{y}}+\mathrm{e}^{-\mathrm{y}}\right)\), where \(x\) and \(y\) are found to be 2 and \(ln \ 2\) with maximum possible errors of \(|dx|=0.1\) and \(|dy| = 0.02\). Estimate the maximum possible error in the computed value of \(T\).
Questions & Answers
QUESTION:
Estimating maximum error Suppose that \(T\) is to be found from the formula \(\mathrm{T}=\mathrm{x}\left(\mathrm{e}^{\mathrm{y}}+\mathrm{e}^{-\mathrm{y}}\right)\), where \(x\) and \(y\) are found to be 2 and \(ln \ 2\) with maximum possible errors of \(|dx|=0.1\) and \(|dy| = 0.02\). Estimate the maximum possible error in the computed value of \(T\).
ANSWER:Step 1 of 4
Suppose that \(T\) is to be found from the formula \(T=x\left(e^{y}+e^{-y}\right)\) where \(x\) and \(y\) are found to be \(2\) and \(\ln 2\) with maximum possible errors of \(|d x|=0.1\) and \(|d y|=0.02\). To estimate the maximum possible error in the computed value of \(T\).