Math wizards
 

I know this should be simple as hell, but for some reason I don't see it ???

How is the theorem:
If the sum of three positive quantities s, t, and u is constant, then their product stu is maximum if and only if s=t=u
a consequence of the arithmetic-geometric mean inequality?

arithmetic-geometric mean inequality is defined as: If a, b, and c are nonnegative real numbers, then ³√(abc) ≤ (a+b+c)/3, with equality holding if and only if a=b=c.

I know this should be cake, but the hamster in my head isn't turning the wheel. I should know this ----, learned it years ago, but I am just blank right now. ???

Re: Math wizards
 

what are you asking of us, if they are correct?

Re: Math wizards
 

modified it a little bit. Asking how the first theorem is a concequence of the arithmetic-geometric mean inequality

Re: Math wizards
 

come on, anybody, I give you 5 dolla for a legitimate answer. :P

Re: Math wizards
 

honestly, who the ---- is really gonna use some ---- like that in thier lifetime??

Re: Math wizards
 

uhm people who design turbos ;) Sorry murdoc, dont have a legit answer for you... go smoke some weed it might help :6

Re: Math wizards
 

theorem obviously comes from the word theory

theory = tested, not proven



who knows if this ---- is even correct??? wouldnt it be an equation if it was proven??





murdoc: sorry to babble in your thread but i doubt you're gonna get much help here :1

Re: Math wizards
 

i really dont understand what your asking. you ask "a consequence of the arithmetic-geometric mean inequality" but arithmetic-geometric mean inequality is defined as: If a, b, and c are nonnegative real numbers, then ³√(abc) ≤ (a+b+c)/3, with equality holding if and only if a=b=c . seems like what your asking is the definition. i dont know maybe im stupid and dont see it either. ??? so i mean technically you can assume its true :P

definitions are

1. An idea that is demonstrably true or is assumed to be so.
2. A mathematical proposition that has been or is to be proved on the basis of explicit assumptions.

Re: Math wizards
 

that's why i'm lost. maybe what i'm looking for is how the theorem can be derived from the arithmetic-geometric mean inequality ??? how about that, can you guys do that?

fucken ---- is due in an hour too. Maybe it's time for some grade A BS :-\

Re: Math wizards
 

:P

I'll ask my step-dad as soon as he gets back from his jog, he's good with this stuff.