2 f(x) = 3 + x 2 x 3 a. Show that the equation f(x) =...

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2 f(x) = 3 + x2 − x3

a. Show that the equation f(x) = 0 has a root, α, in the interval [1.8, 1.9].

b. By considering a change of sign of f(x) in a suitable interval, verify that α = 1.864 correct to 3 decimal places.

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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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