1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 4.6 Related Rates

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 2 Quick Review

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 3 Quick Review Solutions

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 4 What you’ll learn about Related Rate Equations Solution Strategy Simulating Related Motion …and why Related rate problems are at the heart of Newtonian mechanics; it was essentially to solve such problems that calculus was invented.

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 5 Strategy for Solving Related Rate Problems

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 6 Strategy for Solving Related Rate Problem

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Finding Related Rate Equations Slide 4- 7

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Problem 3 Slide 4- 8

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall A Rising Balloon Slide 4- 9 200ft h 

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Balloon Rising Continued Slide 4- 10 200ft h 

11. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Exercise 11 Slide 4- 11

12. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 12 Example A Highway Chase

13. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 13 Example A Highway Chase (cont’d)

14. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Exercise 13 Slide 4- 14

15. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Exercise 13 Answer Slide 4- 15

16. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall The Ladder A 10 ft ladder is pulled from the bottom at a constant rate of 0.1 m/s. The ladder does not pull away from the wall at any time. What speed is the top of the ladder moving as a function of time. Slide 4- 16

17. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Additional Slide 4- 17

18. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 18 Quick Quiz for Sections 4.4-4.6

19. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 19 Quick Quiz for Sections 4.4-4.6

20. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 20 Quick Quiz for Sections 4.4-4.6

21. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 21 Quick Quiz for Sections 4.4-4.6

22. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 22 Quick Quiz for Sections 4.4-4.6

23. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 23 Quick Quiz for Sections 4.4-4.6

24. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 24 Chapter Test

25. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 25 Chapter Test

26. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 26 Chapter Test

27. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 27 Chapter Test

28. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 28 Chapter Test

29. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 29 Chapter Test Solutions

30. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 30 Chapter Test Solutions

31. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 31 Chapter Test Solutions

32. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 32 Chapter Test Solutions

33. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 4- 33 Chapter Test Solutions