2 By using the initial value theorem of Laplace transforms, or otherwise, show that for the general system whose transfer function is given in factored form as in Eqse (6.81) and (6.82), i.e.: g(s)=(1s+1)(2s+1)(ps+1)K(1s+1)(2s+1)(qs+1)g(s)=i=1p(ps+1)Ki=1q(is+1) the initial slope of the step response is zero whenever pq>1, and nonzero only when p=q=1. Also show that when the pole-zero excess is precisely 1 (i.e., pq=1 ) - all other things being equal - the initial portion of the step response becomes steeper as the values of i,i=1,2,,q, the lead time constants, increase; whereas, as the value of the lag time constants i,i=1,2,,p, increase, the initial response becomes less stocp