Problem 2 Fill out the table of unilateral Laplace transforms below (all signals are defined on the interval t € [0, 0)). Also state the region of convergence (ROC). Signal, g

ROC ελέμ(t), λεσ e(t-thi) (t-tshift), AEC, fshift > 0 text μ(t), XE C eat cos(wot)μ(t), o ER et sin(wot)u(t), o ER Σμ( -- kT), T > 0, k=0 Laplace transform, ĝ Remark: The last signal is a "staircase" function in which a "step" occurs every T seconds. It is useful to sketch it to see what it looks like. A closed-form expression for its Laplace transform can be determined using the geometric series summation formula when 8 € ROCg. 3