2025 IGCSE Additional Mathematics May/June 0606/12 Q6

2025 IGCSE Additional Mathematics May/June 0606/12 Q6

6 marks

When \(\ln y\) is plotted against \(x^3\), a straight line passing through the points \((2,5)\) and \((-8,25)\) is obtained.

  1. Find \(y\) in terms of \(x\).[4]
  2. Find the value of \(x\) when \(y=\mathrm e^{25}\).[2]

Solution:

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Answer:(a) \(y=\mathrm e^{9-2x^3}\) (b) \(x=-2\)

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