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35. Compute the impulse response, h(t), of the circuit below in which R1-4 Ω, R2-8 Ω, and page 14 Spring i8 C=0.5 F, and vc(t) is the output. Suppose fi(t)-Keatu(-t), a > 0 and ½(t)=K,e-btu(t), b>0. Compute each of the indicated convolutions. Assume a # b . When plotting, let K-K2-10 (a) yi(t)-h(t) *11(-1) in terms of a and b, and sketch for-4 < t < 4 when a = 1, b-2 in MATLAB. (b) y2(t) = h(t) *,(1) in terms of a and b, and sketch for-4 < t < 4 when a = 1, b-2 in MATLAB. (c) y3(t) = h(t) *At) in terms of a and b, and sketch for-4 < t < 4 when a = 1, b= 2 in MATLAB. R2

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