1. (12 Pts) Find S (4x5 - 5 + ex) dx 2. (8 Pts) Find the open intervals where the function below is a) Increasing b) Decreasing 3. (12 Pts) Find J (3x2 + 2 + (x) dx 4. (24 Pts: 4 pts each) For the function f (x) - x 12x 45x + 2, find a) The x-coordinate of the critical points b) The x-coordinate of the inflection points c) The intervals where f is increasing d) The intervals where f is decreasing e) The intervals where f is concave up f) The intervals where f is concave down 5. (9 Pts) You have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall. What is the largest area you can enclose? (Note: show that you are using calculus to solve this problem.)