The equation of a curve is y = x 5x + 7x 14. i) Find

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The equation of a curve is y = x³ − 5x² + 7x − 14.

i) Find the coordinates of the stationary points on the curve.

ii) Find the equation of the tangent to the curve at the point where the curve intersects the y-axis.

iii) Find the set of values for x for which x³ − 5x² + 7x − 14 is an increasing
function of x.

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