2026 IGCSE Additional Mathematics May/June 0606/21 Q4

2026 IGCSE Additional Mathematics May/June 0606/21 Q4

9 marks

It is given that \(x\) and \(y\) are variables.

When \(\ln3y\) is plotted against \(x^2\) a straight line is obtained.

This straight line passes through the points \((4.64,12.24)\) and \((6.84,8.94)\).

  1. Show that \(y=ke^{ax^2}\) where \(k\) and \(a\) are exact constants.[6]
  2. Find the value of \(y\) when \(x=3\).[1]
  3. Find the values of \(x\) when \(y=10\).[2]

Solution:

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Answer:(a) \(k=\dfrac{e^{96/5}}3,\ a=-\dfrac32\) (b) \(99.6\) (c) \(x=\pm3.25\).

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