h(t) is the impulse response of a causal-system whose transfer function in Laplace domain is H(s)...

  

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h(t) is the impulse response of a causal-system whose transfer function in Laplace domain is H(s) 10(1-s) (s+10) (s+1) S (a) Find the differential equation that describes the system. (b) Is the system stable? Explain briefly in one sentence. (c) Find the slope of the system's unit step response, s(t), at t= 0+. (d) What is the ROC of the Laplace transform of the stable inverse of the above system? h(t) is the impulse response of a causal-system whose transfer function in Laplace domain is H(s) 10(1-s) (s+10) (s+1) S (a) Find the differential equation that describes the system. (b) Is the system stable? Explain briefly in one sentence. (c) Find the slope of the system's unit step response, s(t), at t= 0+. (d) What is the ROC of the Laplace transform of the stable inverse of the above system?