You are given a transfer functionwhere H(s) is the Laplace transform of a time function h(...

You are given a transfer function

where H(s) is the Laplace transform of a time function h(t).

(a) If h(t) were causal, over what range of values of a and b would the system be BIBO stable? State the Region of Convergence.

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(b) If h(t) were two-sided, over what range of values of a and b would the system be BIBO stable? State the Region of Convergence.

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(c) If h(t) were noncausal, over what range of values of a and b would the system be BIBO stable? State the Region of Convergence.