(a) Given the following unilateral z-transforms, find the inverse z-transform of each func...

(a) Given the following unilateral z-transforms, find the inverse z-transform of each function:

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(i)

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(ii)

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(iii)

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(iv)

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(v)

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(vi)

(b) Verify the partial-fraction expansions in Part (a) using MATLAB.

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(c) Evaluate each x [n] in Part (a) for the first three nonzero values.

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(d) Verify the results in Part (c) by expanding each X(z) in Part (a) into a power series using long division.

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(e) Use the final-value property to evaluate x[∞ ] for each function in Part (a).

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(f) Check the results of Part (e), using each x [n] found in Part (a).