0606 P23 - Jun 2025 - Q12 - 10 marks
7181
The function f is defined by \(\mathrm{f}(x)=15 \cos ^{2}(3 x+1.5)+7 \sin (3 x+1.5)-13\) for \(-0.3 \leqslant x \leqslant 0.5\), where \(x\) is in radians. (a) Solve the equation \(\mathrm{f}(x)=0\).
(b) Find the \(x\)-coordinates of the two stationary points on the curve \(y=\mathrm{f}(x)\).
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