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3.2 Algebra and Functions (A-level only)

3.2 Algebra and Functions (A-level only)

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Question 63

The difference in signal attenuation, A(k)A(k)A(k), between two experimental microwave waveguides depends on a positive integer parameter kkk according to the formula:

A(k)=83+7k−87k−3 A(k) = \frac{8}{3+7\sqrt{k}} - \frac{8}{7\sqrt{k}-3} A(k)=3+7k​8​−7k​−38​
a.

Express A(k)A(k)A(k) as a single fraction that does not involve surds.

[4]
b.

Hence, deduce that the attenuation difference A(k)A(k)A(k) is a rational number for all positive integer values of kkk.

[2]
Markscheme

3.2 Algebra and Functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Algebra and Functions (A-level only)

216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 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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