Consider a LTI system with unit impulse response, h(t)= (1+e)u(t). Using convolution, find its unit step response yu(t), i.e. response due to u(t), assuming all initial conditions to be zero. b) In terms of h(t) and yo(t) obtained above, using the "scalability and additivity" properties of linear time-invariant systems (LTI), what would be the response of the system due to the following inputs: i) xi(t) = 38(t+1) + 4u(t-2), ii) x2(t) = 2[u(t-1)-u(t-3)]