Find the maximum value of y=2sin(x)+cos(2x)y = 2\sin(x) + \cos(2x)y=2sin(x)+cos(2x) for x∈[0,2π]x \in [0, 2\pi]x∈[0,2π].
52\frac{5}{2}25
74\frac{7}{4}47
222
333