4) The input signal x (t) shown below is fed into a continuous-time linear and time-invariant...

   

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4) The input signal x₁ (t) shown below is fed into a continuous-time linear and time-invariant system with system function H(s) and zero initial conditions, producing the output signal y₁ (t) shown below. x₁ (t) y, (t) LK 2 2 3 2 3 4 5 t (a) Find the system function H(s) of the system and the corresponding impulse response h(t). (b) Find the response y₂ (t) to the input x₂ (t) = e¯atu(t), for a > 0. 4) The input signal x₁ (t) shown below is fed into a continuous-time linear and time-invariant system with system function H(s) and zero initial conditions, producing the output signal y₁ (t) shown below. x₁ (t) y, (t) LK 2 2 3 2 3 4 5 t (a) Find the system function H(s) of the system and the corresponding impulse response h(t). (b) Find the response y₂ (t) to the input x₂ (t) = e¯atu(t), for a > 0.