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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 222

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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Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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