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[Total 25 Marks] Question 3 a) For a system with transfer function H(s) find its zero-state response. s+5 and input x(t) = e 4* u(0),

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[Total 25 Marks] Question 3 a) For a system with transfer function H(s) find its zero-state response. s+5 and input x(t) = e 4* u(0), 52 +5s +6 [17 Marks] b) What are the zeros and poles of the system in task a, is this system stable or non-stable? Why? [5 Marks] Question 3 a) For a system with transfer function H(s) find its zero-state response. s+5 32+5s +6 and input x(t) = etu(t). [17 Marks] b) What are the zeros and poles of the system in task a, is this system stable or non-stable? Why? [5 Marks] UNITCIS047-2 12020/21/ SEM1/ Paper 1 Page 6 of 7 c) Using Fourier transform properties, prove the following transform (include all steps of your work) 8(t +T) + 8(t-1) 2 cost [3 Marks]

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