4 marksThe Real Number System – ℝ
CAPE Pure Mathematics Unit 1 · May/June 2005 · Paper 2 · Question 1(c)(ii)
Without using calculators or tables, evaluate (√2 + 1)³ - (√2 - 1)³.
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Practise this questionOther parts of this question
- 1(a)(i)Complete the table below for the function |f(x)|, where f(x) = x(2-x).[2 marks]
- 1(a)(ii)Sketch the graph of |f(x)| for -2 ≤ x ≤ 4.[4 marks]
- 1(b)Find the value(s) of the real number, k, for which the equation k(x² + 5) = 6 + 12x - x² has equal roots.[6 marks]
- 1(c)(i)If 2^(x²) = 16^(x-1), find x.[4 marks]
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