Find the Laplace transform of the following (a) anti-causal signals indicating their region of convergence: (i) x(t)

Question:

Find the Laplace transform of the following

(a) anti-causal signals indicating their region of convergence:

(i) x(t) = etu(−t),                                               

(ii) y(t) = etu( − t − 1)

(iii) z(t) = et+1 u( − t − 1),                                

(iv) w(t) = et(u( − t) − u( − t − 1))

(b) non-causal signals indicating their regions of convergence:

(i) x1(t) = u(t + 1) − u(t − 1),

(ii) y1(t) = e−t u(t + 1),

(iii) z1(t) = et[u(t + 1) − u(t − 1)]

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