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−53Decompose 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−3Bwhere AAA and BBB are integers to be determined.
Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
