digital signal processing, Electrical Engineering

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A DT LTI system has the following impulse response:
h(n)=[cos(pi/+delta(n)] u(n-3)u(n-2)
(a) Find the system’s frequency response h(e^jw ).
(b) Sketch the magnitude and phase responses over the range –pi to pi. Is this a linear-phase system?
(c) An input x(n )=100 is fed into the system. Find the output y(n ).
(d) An input x(n )=3sin (pi/2*n) ) is fed into the system. Find the output y(n ).
(e) An input x( n) =(-1^n-3 ) is fed into the system. Find the outpnut y(n ).

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