Use the sum of residues to find the unknown residue in the


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))

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Physics: Use the sum of residues to find the unknown residue in the
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