A curve C has parametric equations x t 3 t, y 4 t 2 , t a Show that the Cartesian equation of C can be written in the form x 2 (a y)(b y) 2 where a and b are integers to be determined b Write down the maximum value of the y coordinate for any point on this curve ...

A curve C has parametric equations x = t 3 t, y = 4 t

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A curve C has parametric equations x = t³ − t, y = 4 − t², t ∈ ℝ

a. Show that the Cartesian equation of C can be written in the form x² = (a − y)(b − y)²where a and b are integers to be determined.

b. Write down the maximum value of the y-coordinate for any point on this curve.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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Question Posted: Aug 12, 2023 06:53 AM

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A curve C has parametric equations x = t 3 t, y = 4 t

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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