The frequency response of an ideal low pass LTI system isIn each of the following cases, d...

The frequency response of an ideal low pass LTI system is

In each of the following cases, determine the Fourier transform of the input signal and then use frequency domain methods to determine the corresponding output signal.

(a) Using frequency-domain methods, determine the output of the system when the input is

(b) Determine the output if the input is

(c) Determine the output if the input is

(d) What is it about this system that accounts for the results you obtained in parts (a)-(c) above?