1. Homework Homework Assignment #11 Read Section 6.2 Page 379, Exercises: 1 – 53(EOO), 56 Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

2. Homework, Page 379 1.Find the area of the region between y = 4x + 4 and y = 3x 2 + 12 over [–3, 3]. (Figure 8) Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

3. Homework, Page 379 5.Find the area between y = sin x and y = cos x over Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

4. Homework, Page 379 Let f (x) = 20 + x – x 2 and g (x) = x 2 – 5x. 9.Find the area of the region enclosed by the two graphs. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

5. Homework, Page 379 9.Continued. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

6. Homework, Page 379 Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

7. Homework, Page 379 Find the area of the shaded region in the figure. 17. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

8. Homework, Page 379 Find the area between the graphs of x = sin y and x = 1 – cos y over the given interval. (Figure 14) Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

9. Homework, Page 379 25.Calculate the area enclosed by x = 9 – y 2 and x = 5 in two ways: as an integral along the y-axis and as an integral along the x-axis. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

10. Homework, Page 379 Sketch the region enclosed by the curves and compute its area. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

11. Homework, Page 379 Sketch the region enclosed by the curves and compute its area. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

12. Homework, Page 379 Sketch the region enclosed by the curves and compute its area. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

13. Homework, Page 379 Sketch the region enclosed by the curves and compute its area. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

14. Homework, Page 379 Sketch the region enclosed by the curves and compute its area. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

15. Homework, Page 379 49.Express the area (not signed) of the shaded region in Figure 16 as a sum of 3 integrals involving the functions f and g. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

16. Homework, Page 379 56.The back of a guitar, Figure 17, has length 19 in. Measuring the width at 1-in intervals starting and ending ½-in from the end, obtain the values: 6, 9, 10.25, 10.75, 1075, 10.25, 9.75, 9.5, 10, 11.25, 12.75, 13.75, 14.25, 14.5, 14.5, 14, 13.25, 11.25, 9 Use midpoints to estimate the area of the back. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

17. Homework, Page 379 56.Continued Rogawski Calculus Copyright © 2008 W. H. Freeman and Company