Lesson 4.7 Score: 0/20 0/4 answered . Question 1 A rancher wants to fence in an area of 500,000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use? Submit Question.Questionl v||(|)| Open-box Problem. An open-box [top open] is made from a rectangular material of dimensions a = 13 inches by b = 1"] inches by cutting a square of side a: at each corner and turning up the sides [see the figure}. Determine the value of a: that results in a box the maximum volume. Following the steps to solve the problem. Check Shovx.r Answer only after 1you have tried hard. {1] Express the volume V as a function of :L': V = {2] Determine the domain of the function V of a: (in interval form}: :] {3] Expand the function V for easier differentiation: V = :] {4] Find the derivative of the function V: V' = :] {5] Find the critical point[s:| in the domain of V: g] {6] The value of V at the left endpoint is [] [T] The value of V at the right endpoint is :] {8] The maximum volume is V 2 {9% Answer the original question. The value of 3: that maximizes the volume is