Section 5.1 Worksheet:

Assigned problems: Exercises pp. 322-324, #2, 3, 11, 12, 14, 19, 20 (due Wednesday).

1. How is the area under a curve defined as a limit? Why is the limit necessary?

2. What are sample points? Who determines where they're located, and how many are used? What methods for sample point placement are considered in this section?

3. What's so special about rectangles? Could we have used other geometrical objects to approximate areas under a curve?

4. How does the distance problem become an area problem?

5. Explain sigma notation.