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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide Quick Quiz for Sections

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

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

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

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

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

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

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

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

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

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