If a system has a unit-impulse-response of h(t) = 100t * e^(-20t) u(t) , where u(t) is the standard unit step function, then determine the transfer function H(f) for the system. What type of filter is this system (high-pass, low-pass, band-pass, or band-reject)? What is the highest gain (or magnitude of the transfer function)? At what frequency or frequencies does this maximum gain occur? At what frequency or frequencies is the magnitude of the transfer function 3 dB lower than its maximum magnitude?