$1.$ Given the transfer function below, write it in standard first order form and determine

the time constant and the steady state gain: $(5)$

$()$

$()$

$=$

$2$

$+13$

$2.$ The transfer function that corresponds to the inlet volumetric flowrate Fin$($t$)$ and the

outlet volumetric flowrate Fout$($t$)$ of two mixing tanks in parallel is given below:

$()=$

$[(1)11+22]+1$

$(11)(22+1)$

What are the poles and zeros of the system? Are there any common factors? And under what

conditions? $(11)$

$[16$ Marks$]$