Hello, Rimas!

A rectangle is inscribed as sketched in the region between the [tex]x[/mathy]-axis

and the part of the graph , on

Determine the coordinates of for which theperimeterof is a maximum.Code:| * * | * *- - - | - - -* * | | | * * |y | y| * | | | ---*---+------+------+---*--- -8π x | x 8π

The perimeter of the rectangle is: . .where

So we have: .

Set the derivative equal to zero: .

. . Hence: .

. . Then: .

Therefore: .