g(x) = e x 1 + 2x 15 a. Show that the equation g(x) =
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g(x) = ex − 1 + 2x − 15
a. Show that the equation g(x) = 0 can be written as
The root of g(x) = 0 is α. The iterative formula xn + 1 = ln (15 − 2xn) + 1, x0 = 3, is used to find a value for α.
b. Calculate the values of x1, x2 and x3 to 4 decimal places.
c. By choosing a suitable interval, show that α = 3.16 correct to 2 decimal places.
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Related Book For
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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