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3 marksCo-ordinate Geometry

CAPE Pure Mathematics Unit 1 · May/June 2015 · Paper 2 · Question 5(b)(ii)

The equation of a circle is given by the parametric equations x = a + b sin t and y = c + d cos t where b ≠ 0.

Determine the value of t for which the circle has vertical tangents.

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Other parts of this question

  1. 5(a)Given that y = tan⁻¹ (1 − x²), find d²y/dx².[5 marks]
  2. 5(b)(i)Determine dy/dx in terms of t.[4 marks]
  3. 5(c)a)Determine whether the function f has turning points.[4 marks]
  4. 5(c)b)Determine the vertical and horizontal asymptotes of f.[4 marks]
  5. 5(c)(ii)Hence, sketch the graph of f.[5 marks]

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