2. A linear circuit has the impulse response h(t) = 100te^-10tu(t) and its input voltage is

the linear ramp x (t) = tu(t).

a. Show a plot of the impulse response, using your favourite plotting software.

b. Find the voltage transfer function for this circuit, H(s).

c. Find the Laplace transform of the circuit output voltage, Y(s).

d. Find the time-domain zero-state output response, y(t).

e. Show a plot of the circuit output y(t), using your favourite plotting software.