Basic Technical Mathematics, 11th Edition

Exercises 2.5, page 75

1. 1. Simpson’s rule. Arcs give better estimate.

2. 3. Simpson’s rule should be more accurate in that it accounts better for the arcs between points on the upper curve.

3. 5. Exact

4. 7. ${\mathrm{84 m}}^2$

5. 9. ${\mathrm{4.9 ft}}^2$

6. 11. ${\mathrm{9.8 mi}}^2$

7. 13. ${\mathrm{12,300 km}}^2$

8. 15. ${\mathrm{120,000 ft}}^2$

9. 17. ${\mathrm{8100 ft}}^2$

10. 19. ${\mathrm{2.73 in.}}^2$ The trapezoids are inside the boundary and do not include some of the area.

11. 21. ${\mathrm{2.98 in.}}^2$ The ends of the areas are curved so that they can get closer to the boundary.