Find the minimum cost of a rectangular box that is three times as long as it is wide and which holds 100 cubic centimeters of water. The material for the bottom costs 7 per 01712: the sides cost 5 per cm2 and the top costs 2d: per (31712 Select one: 0 3. About $9.87 0 b. About $6.87 0 c. About $12.87 0 d. About $3.87 0 e. About $1.87 Suppose we know that f (1') is continuous and differentiable on the interval [-7,0], that f (7) = 3 and that f'(1:) S 2. What is the largest possible value for f(0)? Select one: 0 a. 7 O b. 10 O c. 11 0 d. 14 Oe.8 The company has a large supply of 8-inch by 15inch rectangular pieces of cardboards, and they make boxes by cutting a square from each corner and folding up the sides (see below). What size square should be cut from each corner to make boxes of largest volume? Select one: 0 a. Square of size 4inch by 4-inch O b. Square of size 3-inch by 3inch O c. Square of size 1/3 -inch by 1/3 -inch 0 d. Square of size 5/3 inch by 5/3 -inch Determine all the number(s) c which satisfy the conclusion of Rolles Theorem for f(9;) = 3:2 2:1: 8 on [_ 1 a 3] Select one: 0 a. 1, 2 O b. 0,1 0 c. 1 0 d. 2.5 Oe.0