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The energy of a system as a function of time t is given as E(t)=A^2 exp(-α t), where α=0.2 s^{-1}. The measurement of A has an error of 1.25%. If the error in the measurement of time is 1.50%, find the percentage error in the value of E(t) at t=5 s.

Answer» The energy of a system as a function of time t is given as E(t)=A^2 exp(-α t), where α=0.2 s^{-1}. The measurement of A has an error of 1.25%. If the error in the measurement of time is 1.50%, find the percentage error in the value of E(t) at t=5 s.


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