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Hey guys! Some people in the homework section wanted this thread revived, but with a new intent.
The original purpose was for people to post up integrals (usually indefinite) for me to solve. However the renewed purpose is for anyone to post up a particularly difficult problem for anyone to solve. The problems should be able to be worked out with no more than CalcII knowledge please. It does not necessarily have to be an integral, it could be an interesting piece of number theory or the computation of the value of a series, or even a particularly difficult exercise of algebraic manipulation!
It would be wonderful if you all would participate :)
It has concerned some that this thread will be exploited by some for their homework to be solved, and a way to avoid this would be extra work on part of the mentors. For this I propose that Only members with post counts of over 500, or members who post solutions to the previous problem, will be allowed to post new questions. Generally I have found people with higher post counts know quite a lot and are more accustomed to the forums rules, so will not exploit this. And granted members can solve the previous problem, they probably would not need help with their homework :)
I think I will go first :) (My Class is learning the compound interest formula, this is definitely not my homework):
Evaluate \sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}{3^m\left(m\,3^n+n\,3^m\right)}
This is quite hard.
The original purpose was for people to post up integrals (usually indefinite) for me to solve. However the renewed purpose is for anyone to post up a particularly difficult problem for anyone to solve. The problems should be able to be worked out with no more than CalcII knowledge please. It does not necessarily have to be an integral, it could be an interesting piece of number theory or the computation of the value of a series, or even a particularly difficult exercise of algebraic manipulation!
It would be wonderful if you all would participate :)
It has concerned some that this thread will be exploited by some for their homework to be solved, and a way to avoid this would be extra work on part of the mentors. For this I propose that Only members with post counts of over 500, or members who post solutions to the previous problem, will be allowed to post new questions. Generally I have found people with higher post counts know quite a lot and are more accustomed to the forums rules, so will not exploit this. And granted members can solve the previous problem, they probably would not need help with their homework :)
I think I will go first :) (My Class is learning the compound interest formula, this is definitely not my homework):
Evaluate \sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}{3^m\left(m\,3^n+n\,3^m\right)}
This is quite hard.