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 the perimeter of 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: .