Mean Value Theorem 11. Find the point "c" guaranteed to exist by the Mean Value Theorem for: f(x) = x2 + 5x +2 [-3, -2] Use L'Hopital's Rule to solve. 12. lim *-x-1 X-0 x2 Optimization 13. A rectangular pen is built with one side against a barn. Two hundred meters of fencing are used for the other 3 sides of the pen. What is the maximum area of the pen? Integration 14. S(10x - 2x3) dx 15. S sec2 (5x) dx 16. Sx3(x4 + 16)+dx