Figure 0.8 06 2) [2+2+2) Sometimes it is difficult to implement an ideal pulse signal on a process input since the input variable cannot be changed instantaneously from its steady state value to final value. Hence a modified pulse as shown on RHS can be used. a) Convert the input from time domain to Laplace domain of Figurel. b) Using solution in part a, can you derive the LT of the signal given in Figure 2? 0.4 0 men 0.51 c) If the input (from t = 0 to 6 min in part b) were to repeat indefinitely resulting in periodic signal, draw the sketch of how it will look. Derive the transform of the periodic input. Can such signal approximate u(t) = sin wt signal, explain your answer? Of -0.5