A curve C is defined by the parametric equations x = t, y = t(9 t),

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A curve C is defined by the parametric equations x = √t, y = t(9 − t), 0 ≤ t ≤ 5. 

a. Find a Cartesian equation of the curve in the form y = f(x), and determine the domain and range of f(x).

b. Sketch C showing clearly the coordinates of any turning points, endpoints and intersections with the coordinate axes.

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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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