For each of the following signals: (a) Use the actual definition to find their Laplace transforms....

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For each of the following signals: (a) Use the actual definition to find their Laplace transforms. (b) Sketch their pole-zero plots. (i) x₁(t) = cos (wot) sin (wot) u(t) e-at 0≤t≤T (ii) 10 otherwise (iii) 23(t) = [e-2t + e* cos(3t)] u(t) Note: Do not use the Laplace transform properties to solve this problem. x2(t) = = For each of the following signals: (a) Use the actual definition to find their Laplace transforms. (b) Sketch their pole-zero plots. (i) x₁(t) = cos (wot) sin (wot) u(t) e-at 0≤t≤T (ii) 10 otherwise (iii) 23(t) = [e-2t + e* cos(3t)] u(t) Note: Do not use the Laplace transform properties to solve this problem. x2(t) = =