A perturbation in the temperature of a stream leaving a chemical reactor follows a decaying sinusoidal variation, according to the following mathematical equation,
T(t)=5e^(-at ).sin(wt)
where a and w are constant.
Then show that the temperature T (t) is maximum at time “t”. Also verify that t= 1/w.〖tan〗^(-1) (w/a)
Determine the maximum temperature value at t= 1/w.〖tan〗^(-1) (w/a).