a) Plot a signal x(t) = A(e-at - e-bt).u(t) for sufficient duration of time. (Note: if duration is found too small, plot the X-axis in ms or µs instead of seconds). Choose own values of A, a & b. b )Obtain the expression for the Unilateral Laplace transform (ULT or LT) X(s) of this signal. c) Multiply X(s) with s and then obtain its Inverse Laplace Transform (ILT) y(t). Apply the relevant property of LT that you had learned in the lecture classes and check if the same y(t) can be obtained through calculations from x(t). Present this calculation in the report. d )Plot y(t) for the same duration of x(t)in the same figure. The figure should have labels, gird and legend as in the 1st question. e) Suppose if the coefficients of a LT X(s) are given as follows: Numerator = [a b], Denominator = [c d e], obtain the complete expression of X(s). From this expression, obtain the poles, zeros and gain. Also plot its pole-zero plot. anyone know the answer??