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4 marksEquations of Tangents and Normals to Curves

CSEC Additional Mathematics · May/June 2009 · Paper 2 · Question 12 OR (i)

A diagram shows part of the curve y = e^(x/2) + 5 crossing the y-axis at A. The normal to the curve at A meets the x-axis at B.

Find the coordinates of B.

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Other parts of this question

  1. 12 EITHER (i)Find, in terms of e, the y-coordinate of Q.[5 marks]
  2. 12 EITHER (ii)Find, in terms of e, the x-coordinate of R.[5 marks]
  3. 12 OR (ii)Find the area of the shaded region.[6 marks]

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