Find the inverse transform of the completed expansion

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Use the sum of residues to find the unknown residue in the following expansion. Then find the inverse transform of the completed expansion. Finally, validate your answer using MATLAB.

F(s) = (5000(s + 1000)) / ((s + 500)(s + 5000)) = ((5000 / 9)/(s + 500)) + (k/(s + 5000))

Reference no: EM131344381

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