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6 marksDifferentiation I

CAPE Pure Mathematics Unit 1 · May/June 2008 · Paper 2 · Question 5(b)

A chemical process is controlled by the function P = u/t + vt², where u and v are constants. Given that P = -1 when t = 1 and the rate of change of P with respect to t is -5 when t = 1/2.

Find the values of u and v.

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Other parts of this question

  1. 5(a)Find lim (as x→3) (x² - 27) / (x² + x - 12).[4 marks]
  2. 5(c)(i)Find the equation of C.[3 marks]
  3. 5(c)(ii)Find the coordinates of the stationary points of C and determine the nature of EACH point.[7 marks]
  4. 5(c)(iii)Sketch the graph of C and label the x-intercepts.[5 marks]

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