Hi,

I have a problem.

Given a+b=10.

Find maximum value of a^3*b^2

How do i go about doing this?

Also i heard,

a^x*b^y*c^z is maximum when a/x=b/y=c/z, provided a+b+c=constant?

Can someone give me the proof? Also i am appearing for an exam that tests me in such applications of math, can someone post a link to the most common axioms and proofs?

Thanks.