a. Using the same axes, sketch the graphs of y = e x and y = x

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a. Using the same axes, sketch the graphs of y = e−x and y = x2.

b. Explain why the function f(x) = e−x − x2 has only one root.

c. Show that the function f(x) = ex − x2 has a root between x = 0.70 and x = 0.71.

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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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