I've got this problem that I'm trying to solve, I've been twisting my brain for several hours now.
An area 'A' is limited by the curve y=x^2, the x-axel and the line x=2
In this area is a rectangle with the area R, as seen in the figure.
Calculate the maximum relation between R and A in exact form.
If someone could take a look at this and help me, I would appreciate it very very much!
(sorry for my bad english)