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.
281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.