9709 P13 - Jun 2021 - Q2
1155
The function \(f\) is defined by \(f(x) = \frac{1}{3}(2x - 1)^{\frac{3}{2}} - 2x\) for \(\frac{1}{2} < x < a\). It is given that \(f\) is a decreasing function.
Find the maximum possible value of the constant \(a\).
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