(a) Find the Laplace Transform of the time function shown in Figure 1(a). f(t) T т 27 Figure 1(a) (b) wi Find the expres

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(a) Find the Laplace Transform of the time function shown in Figure 1(a). f(t) T т 27 Figure 1(a) (b) wi Find the expression of the output in time for the system G(5) where $2+2 Wns+wn 0<} <1 when the input is: (Hint: consider the solution of a step input to a second order system) © Find the transfer function of the system shown below with input being f(t) and output x(t): x(t) yt) f(0) mi ww m2