Question 9.13: Use the sum of residues to find the unknown residue in the f......
Use the sum of residues to find the unknown residue in the following expansion:
F(s) = \frac{660(s + 10)}{(s + 1)(s + 100)} = \frac{60}{s + 1} + \frac{k}{s + 100}
Step-by-Step
We have n = 2 and m + 1 = 2, so the sum of residues is the scale factor K = 660. Solving for k, we get
660 = 60 + k
k = 600
F(s) = \frac{60}{s + 1} + \frac{600}{s + 100}
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