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5 marksFormulating Curve Equation from Gradient Function

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

The point P(0, 5) lies on the curve for which dy/dx = e^(x/2). The point Q, with x-coordinate 2, also lies on the curve.

Find, in terms of e, the y-coordinate of Q.

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Other parts of this question

  1. 12 EITHER (ii)Find, in terms of e, the x-coordinate of R.[5 marks]
  2. 12 OR (i)Find the coordinates of B.[4 marks]
  3. 12 OR (ii)Find the area of the shaded region.[6 marks]

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