Mathematics

Mathematics

Problem

Let g(x)=2sin⁡x+x2g(x)=2\sin x+\dfrac{x}{2} for 0≤x≤π0\le x\le \pi. At which of the following xx-values does gg attain its absolute maximum on this interval? a) 2π3\dfrac{2\pi}{3} b) π2\dfrac{\pi}{2} c) arccos⁡ ⁣(−14)\arccos\!\left(-\tfrac14\right) d) π\pi

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