f(x) = (105x 3 128x 2 + 49x 6) cos 2x, where x is in
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f(x) = (105x3 − 128x2 + 49x − 6) cos 2x, where x is in radians. The diagram shows a sketch of y = f(x).
a. Calculate f(0.2) and f(0.8).
b. Use your answer to part a to make a conclusion about the number of roots of f(x) in the interval 0.2 < x < 0.8.
c. Further calculate f(0.3), f(0.4), f(0.5), f(0.6) and f(0.7).
d. Use your answers to parts a and c to make an improved conclusion about the number of roots of f(x) in the interval 0.2 < x < 0.8.
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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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