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Calculate the unilateral Laplace Transform of the following signals: (i) (ii) x1(t) = e-tu(t) * cos(t – 2) u?t - 2). x2(t) = t2e-2t-2u(t). (b) Use partial fraction expansion to find the inverse Laplace transform of signal X(s) = (x+2)=(s+4) (c) Discuss the stability of signal X(s) =; s, using the final value theorem. (s+2)(s+4)
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