Calculus High

So I was just taking a quiz for my Calculus 1 class, and there was a problem that I thought had me stumped.  I knew I had to get it right--it was the last problem for me to do, and determined whether or not I would get a decent grade.  But I was able to figure it out!! Yay!  Do any of you know the feeling when you figure out a math problem that was kind of difficult? That elation. That total sense of happiness and euphoria. Yup. That's how I'm feeling right now.
I'm on a calc high.

Best Wishes!
     -K

ps- for those of you who are curious about the problem, it was:
find the absolute maximum of f(x)=x^a(3-x)^b on the domain [0,3], and where a and b are both positive integers.