Provide an appropriate response.The function P(x) = 2x + , 0 < x < ? models the perimeter of a rectangle of dimensions x by .(a) Find the extreme values for P.(b) Give an interpretation in terms of perimeter of the rectangle for any values found in part (a).

Question

What will be an ideal response?

Answer 1

(a) The only critical point in the interval (0, ?) at x = 7.1. The minimum value of P(x) is  at 
(b) The smallest possible perimeter of the rectangle is  units and it occurs at  which makes the rectangle a 7.1 by 7.1 square.