1. Homework Homework Assignment #33 Review Sections 4.1 – 4.9 Page 294, Exercises: 1 – 117(EOO), skip 17, 21, 73 Chapter 4 Test next time Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

2. Homework, Page 294 Estimate using the Linear Approximations or linearization and use a calculator to compute the error. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

3. Homework, Page 294 Estimate using the Linear Approximations or linearization and use a calculator to compute the error. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

4. Homework, Page 294 Find the linearization at the point indicated. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

5. Homework, Page 294 Use the Linear Approximation. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company 13.The position of an object in linear motion at time t is s (t) = 0.4t 2 + (t + 1) –1. Estimate the distance traveled over the time interval [4, 4.2].

6. Homework, Page 294 Find the local extrema and determine whether they are maxima, minima, or neither. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

7. Homework, Page 294 Find the extreme values on the interval. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

8. Homework, Page 294 Find the extreme values on the interval. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

9. Homework, Page 294 Find the points of inflection. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

10. Homework, Page 294 Find the points of inflection. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

11. Homework, Page 294 Evaluate the limit. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

12. Homework, Page 294 Evaluate the limit. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

13. Homework, Page 294 Evaluate the limit. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

14. Homework, Page 294 Evaluate the limit. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

15. Homework, Page 294 Sketch the graph noting the transition points and asymptotic behavior. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

16. Homework, Page 294 Sketch the graph noting the transition points and asymptotic behavior. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company See next two slides.

17. Homework, Page 294 65.Continued Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

18. Homework, Page 294 Sketch the graph noting the transition points and asymptotic behavior. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

19. Homework, Page 294 Sketch the graph noting the transition points and asymptotic behavior. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

20. Homework, Page 294 Sketch the graph noting the transition points and asymptotic behavior. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

21. Homework, Page 294 77.Use Newton’s Method to estimate the cube root of 25 to four decimal places. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

22. Homework, Page 294 Calculate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

23. Homework, Page 294 Calculate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

24. Homework, Page 294 Calculate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

25. Homework, Page 294 Solve the differential equation with initial condition. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

26. Homework, Page 294 Solve the differential equation with initial condition. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

27. Homework, Page 294 Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

28. Homework, Page 294 Find the local extrema and points of inflection, and sketch the graph. Use L'Hôpital's Rule, if necessary, to determine the limits as x → – ∞, x → ∞. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

29. Homework, Page 294 Verify that L'Hôpital's Rule applies and evaluate the limit. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

30. Homework, Page 294 Verify that L'Hôpital's Rule applies and evaluate the limit. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

31. Homework, Page 294 Verify that L'Hôpital's Rule applies and evaluate the limit. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company