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5 marksAlgebraic Operations

CAPE Pure Mathematics Unit 1 · May/June 2000 · Paper 2 · Question 6(a)

The function h is given by h(x) = x³ - 3x + 2, x ∈ ℝ.

Find the values of x for which h(x) = 0.

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Other parts of this question

  1. 6(b)Find the stationary points of h.[6 marks]
  2. 6(c)(i)Determine the value(s) of x where h has a local maximum.[2 marks]
  3. 6(c)(ii)Determine the value(s) of x where h has a local minimum.[2 marks]
  4. 6(d)Using the above, and any other information, sketch the graph of h.[5 marks]
  5. 6(e)Find the total area enclosed between the curve, the x-axis and the values x = -2 and x = 2.[5 marks]

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