Given the LTI system of Figure, with the input x[n] and the impulse response h[n], wherePa...

Given the LTI system of Figure, with the input x[n] and the impulse response h[n], where

Parts (a), (b), and (c) are to be solved without finding y[n] for all n.

(a) Solve for the system output at n = 5; that is, find y[5].

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(b) Find the maximum value for the output y[n].

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(c) Find the values of n for which the output is maximum.

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(d) Verify the results by solving for y[n] for all n.

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(e) Verify the results of this problem using MATLAB.