The energy of a system is given as E ( t )=α^3 e^-β t, where t is the time and β=0.3 s^-1. The errors in the measurement of α and t are 1.2% and…

The energy of a system is given as $\displaystyle \mathrm{E}(\mathrm{t})=\alpha^3 \mathrm{e}^{-\beta \mathrm{t}}$, where t is the time and $\displaystyle \beta=0.3 \mathrm{~s}^{-1}$. The errors in the measurement of $\displaystyle \alpha$ and t are $\displaystyle 1.2$% and $\displaystyle 1.6$%, respectively. At $\displaystyle \mathrm{t}=5 \mathrm{~s}$, maximum percentage error in the energy is :