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March 27, 2017

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The function f(x)= ax^3 - bx +c passes through the origin, f(-1)=4/3 and it has an extreme point at x=1
(i) Find the values of a, b and c.
(ii) Sketch the graph
(iii) Find the area bounded by the graph of f(x) and the x-axis between the lines x=-1 and x=1

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