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1.2.25 Partial fractions (A-level only)

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Question 22

In the analysis of a dampened linear system, the response function R(s)R(s)R(s) is defined as:

R(s)=3s−53(2s+5)(s−3) R(s) = \frac{3s - 53}{(2s + 5)(s - 3)} R(s)=(2s+5)(s−3)3s−53​

Decompose R(s)R(s)R(s) into partial fractions in the form:

A2s+5+Bs−3 \frac{A}{2s + 5} + \frac{B}{s - 3} 2s+5A​+s−3B​

where AAA and BBB are integers to be determined.

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1.2.25 Partial fractions (A-level only) Questions

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