2. (4 marks) Discuss the result of maximizing the area of a rectangle, given a fixed perimeter. 3. (4 marks) The cost of producing an ordinary cylindrical tin can is determined by the materials used for the wall and the end pieces. If the end pieces are twice as expensive per square centimetre as the wall, find the dimensions (to the nearest millimetre) to make a 1000 cm3 can at minimal cost. 4. (6 marks) Explain and discuss the difference in velocity at times t = 1 and t = 5 for v(t) = 21 - 12. Show your work for t = 1, t = 5, and the difference between t = 1 and t = 5