2025 SAJC Promo Q1

2025 SAJC Promo Q1

Junior College 1
6 marks

The curve \(C\) is defined by the parametric equations

  1. Show that \(\dfrac{dy}{dx}=(e^{2t}+e^{-t})(2t-1)\).[2]
  2. Hence find the equation of the normal to the curve at the point where \(x=0\).[4]

Solution:

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Answer:\(y=\dfrac12x-1\)

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