f(x) = 4 cot x 8x + 3, 0 < x < , where x is
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f(x) = 4 cot x − 8x + 3, 0 < x < π, where x is in radians.
a. Show that there is a root α of f(x) = 0 in the interval [0.8, 0.9].
b. Show that the equation f(x) = 0 can be written in the form
c. Use the iterative formula
to calculate the values of x1, x2 and x3 giving your answers to 4 decimal places.
d. By considering the change of sign of f(x) in a suitable interval, verify that α = 0.831 correct to 3 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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