first problem : Let A and B be postitive numbers. SHow that not both of the numbers a(1-b) and b(1-a) can be greater than 1/4.(adsbygoogle = window.adsbygoogle || []).push({});

second problem : Find a function f such that fprime(-1) = 1/2,fprime(0) = 0

and f doubleprime (x) >0 for all x, or prove that sucha function cannot exist.

thanks in advance!

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# Calculus problem.

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