May/June 2026 Paper 33

2026 · 11 questions · 19 parts · 75 marks

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Q1–/4 mks
Q2–/4 mks
Q3–/5 mks
Q4–/6 mks
Q5–/9 mks
Q6–/6 mks
Q7–/5 mks
Q9–/10 mks
Q10–/8 mks
8(a)Root Finding IterationMedium1 mark
By sketching a suitable pair of graphs, show that the equation has exactly one real root.
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Draw with the mouse or a finger.
8(b)Root Finding IterationMedium2 marks
Show that, if a sequence of real values given by the iterative formula
converges, then it converges to the root of the equation in 8(a).

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8(c)Root Finding IterationMedium2 marks
Show by calculation that this root lies between 1 and 2.

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8(d)Root Finding IterationMedium3 marks
Use the iterative formula given in 8(b) to calculate this root correct to 2 decimal places. Give the result of each iteration to 5 decimal places.
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