Problem 3: [21 point(s)] Consider the following system in Fig. 1 (Note that epsilon in the diagram is equivalent to e. E(s) 25 T 1-E-Ts T S 1-E-Ts S 25 Figure 1: Split sample-and-hold system. C(s) -Ts=e-Ts) 3.1 [9 point(s)] Find the output c(kT) by hand for the system for e(t) equal to a unit-step func- tion. 3.2 [6 point(s)] Explain the effect of the sampler and data hold on c(kT) in the upper path. 3.3 [6 point(s)] Sketch by hand the unit step-response c(t) of the system, do not use plotting software like MATLAB. This sketch can be made without mathematically solving for C(s).