9709 P31 - Jun 2026 - Q2 - 5 marks
9088
The variables \(x\) and \(y\) satisfy \(y^3=A\mathrm e^{kx}\), where \(A\) and \(k\) are constants. The graph of \(\ln y\) against \(x\) is a straight line passing through \((-1.32,5.09)\) and \((0.25,1.16)\). Find \(A\) and \(k\). [5]
