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!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Calculus problem.

**Physics Forums | Science Articles, Homework Help, Discussion**