A-LevelMathematicsNumerical methodsOct/Nov 2019Paper 3 Q58 Marks
The curve with equation y = e^2x ln(x – 1) has a stationary point when x = p. (i) Show that p satisfies the equation x = 1 + exp exp(2(x-1)) where exp(x) denotes ex. (ii) Verify by calculation that p lies between 2.2 and 2.6. (iii) Use an iterative formula based on the equation in part (i) to determine p correct to 2 decimal places. Give the result of each iteration to 4 decimal places.
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