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3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

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Question 122

The growth rate H(s)H(s)H(s) of a synthetic crystal, where sss is the concentration of an additive, is modeled by the function:

H(s)=9s+4(1−3s)(2+s) H(s) = \frac{9s + 4}{(1 - 3s)(2 + s)} H(s)=(1−3s)(2+s)9s+4​
a.

Express H(s)H(s)H(s) in partial fractions.

[4]
b.

Hence find the binomial series expansion of H(s)H(s)H(s) in ascending powers of sss, up to and including the term in s2s^2s2. Give each coefficient as a simplified fraction.

[6]
c.

Determine the range of values of sss for which the expansion in (b)(i) is valid.

[2]
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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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