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3.1 Algebra and functions (A-level only)

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Question 62
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In a high-frequency electronics design, the transfer function H(s)H(s)H(s) of a specific signal filter is given by:

H(s)=16s+11(2s−3)(4s+1) H(s) = \frac{16s + 11}{(2s - 3)(4s + 1)} H(s)=(2s−3)(4s+1)16s+11​

Determine the values of the constants AAA and BBB such that H(s)H(s)H(s) can be expressed as:

A2s−3+B4s+1 \frac{A}{2s - 3} + \frac{B}{4s + 1} 2s−3A​+4s+1B​

where AAA and BBB are integers.

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3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

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.

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