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Find a function f(x)  satisfying f ' '(x) = sqrt{x}, f ' (1)=0 and f(1)=0. You must...

Find a function f(x)  satisfying f ' '(x) = sqrt{x}, f ' (1)=0 and f(1)=0. You must explain in words what you are doing so that someone who knows what antidifferentiation is but otherwise does not have experience can follow your computations. Give your final answer in what seems to you to be the simplest form. Use antidifferentiation, not integration.

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