As always, show your work in a clear and concise manner. Answers without supporting work will receive zero credit. 1) You are given 100 feet of fence to build a rectangular enclosure. What dimensions will maximize the area of the enclosure? [10] 2) You are given 100 feet of fence to build a rectangular enclosure, where one side borders a river. The river will act as a natural barrier. What dimensions will maximize the area of the enclosure? [10] 3) Explain the process of nding the extreme values of a function in a given interval. [5]