Related Rates and Applications of Derivatives

Related Rates and Applications of Derivatives

Eddie Woo via YouTube Direct link

The Wine Glass (3 of 4): Conclusions from Calculus [dh/dt in terms of height]

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The Wine Glass (3 of 4): Conclusions from Calculus [dh/dt in terms of height]

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Related Rates and Applications of Derivatives

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  1. 1 CSMA/CD - Collision Procedure
  2. 2 CSMA/CD Overview
  3. 3 Introduction to Related Rates
  4. 4 Related Rates - Balloon
  5. 5 Related Rates - Inverted Cone
  6. 6 Why Radians?
  7. 7 Related Rates - Shadow
  8. 8 Related Rates - Slipping Ladder
  9. 9 Related Rates: Flying Plane
  10. 10 Related Rates - Boat w/ Trig
  11. 11 Account Management
  12. 12 Assigning Rights: File Privileges
  13. 13 Assigning Rights: Peripherals
  14. 14 Related Rates: Police Car (Better Approach)
  15. 15 Related Rates: Police Car (Flawed Approach)
  16. 16 Related Rates: Police Car (Implicit)
  17. 17 Related Rates: Unit Circle
  18. 18 Primitives and Rates of Change (Example 1)
  19. 19 Primitives and Rates of Change (Example 2)
  20. 20 The Wine Glass (1 of 4): Pouring the Water
  21. 21 The Wine Glass (2 of 4): Initial Observations
  22. 22 The Wine Glass (3 of 4): Conclusions from Calculus [dh/dt in terms of height]
  23. 23 The Wine Glass (4 of 4): Conclusions from Calculus [dh/dt in terms of time]
  24. 24 Related Rates - The Leaking Trough
  25. 25 Related Rates - The Railroad Intersection (1 of 2): Flawed Approach
  26. 26 Related Rates - The Railroad Intersection (2 of 2): Better Approach
  27. 27 Understanding Rates: Relationships Between Quantities
  28. 28 Exam Problem: The Coin Shadow
  29. 29 Mathematical Induction (2 of 3: Assumption step and Proving inequality)
  30. 30 Rates of Change (1 of 3: Calculating Related Rates)
  31. 31 Rates of Change (2 of 3: Using Volume, Area and other formulae and chain rule to find related rates)
  32. 32 Rates of Change (3 of 3: Using Chain Rule to solve for the rate of change in area)
  33. 33 Harder Rates of Change Question (1 of 2: Extrapolating information from question to find solution)
  34. 34 Harder Rates of Change Question (2 of 2: Using Differentiation and Chain Rule to find solution)
  35. 35 Rates of Change (2 of 4: Using a second diagram to find r in terms of h for a SA relation)
  36. 36 Rates of Change (3 of 4: Using Chain Rule to find the change of height over time)
  37. 37 Rates of Change (4 of 4: Integrating to find the height of the 'puddle')
  38. 38 Exponential Growth and Decay (1 of 4: Representing growth in proportion to size of population)
  39. 39 Exponential Growth and Decay (2 of 4: Satisfying the DE by integration/differentiation)
  40. 40 Exponential Growth and Decay (3 of 4: Working through an introductory example of Exponential Growth)
  41. 41 Exponential Growth and Decay (4 of 4: Working through Harder Exponential Growth Question)
  42. 42 Modified Growth and Decay (1 of 2: Differences between modified and exponential growth and decay)
  43. 43 Modified Growth and Decay (2 of 2: Solving an example of Modified Decay [of temperature])
  44. 44 Modified Growth and Decay: Capped Population (Finding the Differential Equation for modified decay
  45. 45 Straight Line Motion & Average Velocity (simple example)
  46. 46 Acceleration as a Function of Velocity (1 of 2: Introductory example)
  47. 47 Acceleration as a Function of Velocity (2 of 2: Simple resistance)
  48. 48 Harder Motion (1 of 2: Finding the time it takes for Particle A to hit origin)
  49. 49 Harder Related Rates (1 of 3: Finding the velocity of the car in terms of time and its acceleration)
  50. 50 Harder Related Rates (2 of 3: Finding Displacement of car and truck and truck's velocity)
  51. 51 Harder Related Rates (3 of 3: How far does the car have to be to overtake as quickly as possible)
  52. 52 Related Rates of a Balloon (1 of 3: Describing the situation)
  53. 53 Related Rates of a Balloon (2 of 3: Introducing the derivatives)
  54. 54 Related Rates of a Balloon (3 of 3: Evaluating a rate of change)
  55. 55 Related Rates of a Shrinking Cube
  56. 56 Related Rates of Change: Overall Strategy
  57. 57 Related Rates of Change - Slipping Ladder (1 of 2: Establishing the scenario)
  58. 58 Related Rates of Change - Slipping Ladder (2 of 2: Working the equations)
  59. 59 Related Rates of Change - Shifting Shadow (1 of 2: Understanding the problem)
  60. 60 Related Rates of Change - Shifting Shadow (2 of 2: Manipulating the derivatives)
  61. 61 Exponential Growth Rates (1 of 2: Instantaneous)
  62. 62 Exponential Growth Rates (2 of 2: Average)
  63. 63 Growth/Decay with Environmental Factors (1 of 2: Difference in equations)
  64. 64 Growth/Decay with Environmental Factors (2 of 2: Example question)
  65. 65 Growth & Decay - Saltwater/Freshwater Problem (1 of 3: Understanding the constants)
  66. 66 Growth & Decay - Saltwater/Freshwater Problem (2 of 3: Applying calculus)
  67. 67 Growth & Decay - Saltwater/Freshwater Problem (3 of 3: Interpreting the situation)
  68. 68 Optimisation Problem with Interacting Rates (1 of 3: Assembling the information)
  69. 69 Optimisation Problem with Interacting Rates (2 of 3: Creating the mathematical model)
  70. 70 Optimisation Problem with Interacting Rates (3 of 3: The most efficient speed)

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