The rate at which energy EEE (in microjoules) is consumed by a prototype sensor is modeled by the equation
dEdt=14t8−96t4,t>0.5\frac{dE}{dt} = \frac{14t^8 - 9}{6t^4}, \quad t > 0.5dtdE=6t414t8−9,t>0.5
where t t\,t is the time in seconds.
Find a general expression for E E\,E in terms of ttt, giving your answer in simplest form.
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