Review for 3rd Exam

1. Exercises 7-13, page 212.
2. Problem 20, page 213.
3. Let $f(x)=x^{1/3} (x+3)^{2/3}$ ; answer the following.
   1. Find the intervals of increase and decrease.
   2. Find the local and global extrema.
   3. Find the intervals of concavity and the inflection points.
4. Problems 12 and 13, page 201.
5. Problems 6 and 8, page 201.
6. Problems 13, 14 and 15, page 211.
7. If $f(1)=10$ and $f^{\prime}(x) \ge 2$ for $1 \le x \le 4$ , how small can $f(4)$ possibly be?