USF Math Club

Let f(x),g(x) be continuous functions with continuous first derivatives for all real x such that fg’-gf’ is never zero. Prove that between any two consecutive roots of f(x)=0 there is exactly one root of g(x)=0.

Reward for best solution: A copy of the book “Godel’s proof” By Ernest Nagel and James R. Newman.Donated by Dr. Milé [...]

Click here to view the Problem of the Month for September.

Click here to view the Problem for the Month of November.

Click here for the new  problem for the month!

The first Problem of the Month for the semester have been posted here!

New Problem of the month, posted HERE

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POTM has been posted!  Please check here.

Since there was no solution to the POTM for October, the stakes have doubled!  Check here for more info, or click on the problem of  month link.