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5 marksDerivative as a Rate of Change (Kinematics and Related Rates)

CSEC Additional Mathematics · 2017 · Paper 2 · Question 5(c)

Water is poured into a cylindrical container of radius 15 cm. The height of the water increases at a rate of 2 cm s⁻¹. The formula for the volume of a cylinder is πr²h.

Determine the rate of increase of the volume of water in the container in terms of π.

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Other parts of this question

  1. 5(a)Differentiate the expression (1 + 2x)³ (x + 3) with respect to x, simplifying your answer.[4 marks]
  2. 5(b)Determine the equation of the normal to the curve at point P.[5 marks]

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