2024 IGCSE Additional Mathematics October/November 0606/11 Q7

2024 IGCSE Additional Mathematics October/November 0606/11 Q7

8 marks

When \(\mathrm{e}^{5y}\) is plotted against \(x^3\), a straight line passing through the points \((-2.56,4.38)\) and \((6.54,9.84)\) is obtained.

  1. Find \(y\) in terms of \(x\).[5]
  2. Find the values of \(x\) for which \(y\) can exist.[3]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(y=\dfrac15\ln(0.6x^3+5.916)\), with intercept \(5.92\) to 3 s.f. (b) \(x>-\sqrt[3]{9.86}\) (boundary \(\approx-2.14\)).

Need help? Join our JC Math tuition classes.

Learn more