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Mastering Related Rates: A Calculus Quick Review

Explore the development of mathematical models, creation of variable rate equations, use of Chain Rule, and solution interpretation in related rate problems, essential in Newtonian mechanics and calculus.

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Mastering Related Rates: A Calculus Quick Review

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  1. Related Rates Chapter 5 Applications of Derivatives Section 5.6

  2. Quick Review

  3. Quick Review Solutions

  4. What you’ll learn about • Development of a mathematical model • Creation of an equation that relates the variable whose rate of change is known to the variable whose rate of change is sought • Use of Chain Rule to relate the rates of change • Identification of solution • Interpretation of solution …and why Related rate problems are at the heart of Newtonian mechanics; it was essentially to solve such problems that calculus was invented.

  5. Strategy for Solving Related Rate Problems

  6. Strategy for Solving Related Rate Problems

  7. Example A Highway Chase

  8. Example A Highway Chase (cont’d)

  9. Quick Quiz for Sections 5.4 – 5.6

  10. Quick Quiz for Sections 5.4 – 5.6

  11. Quick Quiz for Sections 5.4 – 5.6

  12. Quick Quiz for Sections 5.4 – 5.6

  13. Quick Quiz for Sections 5.4 – 5.6

  14. Quick Quiz for Sections 5.4 – 5.6

  15. Chapter Test

  16. Chapter Test

  17. Chapter Test

  18. Chapter Test

  19. Chapter Test

  20. Chapter Test Solutions

  21. Chapter Test Solutions

  22. Chapter Test Solutions

  23. Chapter Test Solutions

  24. Chapter Test Solutions

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