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Consider an initially relaxed system with input and output denoted by x(t) and y(t) respectivley, also assume its transfer function is:
H(s)=Y(s)/X(s) = K/(K+s)
a) assuming k>0 what is steady state the response of the above system due to an input of the form , x(t) = 2sigma(t)+u(t). where sigma(t) denotes unit impulse function and u(t) denotes unit step function?
b) What is the steady state response of the above due to input x(t) =2COS(10*pi*t)?
Determine the Laplace transform of the above signals (use properties of the Laplace transform) including the corresponding region of convergence.
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