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9709 P22 - Mar 2026 - Q3 - 5 marks
9014
Straight-line graph of ln y against square root of x,passing through(1.5,2.83)and(3.2,4.87).

Variables \(x,y\) satisfy \(y=ke^{a\sqrt{x}}\), with positive constants \(k,a\). The graph of \(\ln y\) against \(\sqrt x\) passes through \((1.5,2.83)\) and \((3.2,4.87)\). Find \(k,a\), each to 1 decimal place. [5]

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