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4 marksFormulating Curve Equation from Gradient Function

CSEC Additional Mathematics · 2015 · Paper 2 · Question 6(b)(ii)

A curve has an equation which satisfies dy/dx = kx(x - 1) where k is a constant. The value of the gradient of the curve at the point (2, 3) is 14.

Determine the equation of the curve.

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Other parts of this question

  1. 6(a)Evaluate ∫(from π/6 to π/3) cos 3θ dθ.[4 marks]
  2. 6(b)(i)Determine the value of k.[2 marks]
  3. 6(c)Calculate, in terms of π, the volume of the solid formed when the area enclosed by the curve y = x^2 + 1 and the x-axis, from x = 0 to x = 1, is rotated…[4 marks]

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