The impulse response of a LTI is h(t) = e^−2tu(t). Use MATLAB functions to approximate the convolution integral when the inputs of the system are

x₁(t) = cos(2π t) [u(t) − u(t − 20)], x₂(t) = sin(π t)e^−20t[u(t) − u(t − 20)]x₃ (t) = r(t) − 2r(t − 2) + r(t − 4)

Plot the impulse response, the input and the corresponding output for each case.