maximize u+1 + (2-\dfrac12(u+1)^2)^(2/3) + (u+1-\dfrac12(u+1)^2)^(1/2)maximize u+1 + (2-\dfrac12(u+1)^2)^(2/3) + (u+1-\dfrac12(u+1)^2)^(1/2)

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