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Find the Absolute Maximum of the Function f(x)=sin(2x)+2cos(x)f(x)=\sin (2 x)+2 \cos (x)

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Find the absolute maximum of the function. f(x)=sin(2x)+2cos(x)f(x)=\sin (2 x)+2 \cos (x) on the interval [0,π2]\left[0, \frac{\pi}{2}\right]

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