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Further Rates of Change: Growth, Decay and Related Rates

Calculus (ME1-12-05)
4 · Further Applications of Calculus

What this note covers

  1. Differential Equations and the General Growth/Decay Model
  2. Half-Life and Doubling Time
  3. The Modified Law: dN/dt = k(N − P) and Newton's Law of Cooling
  4. Solving and Interpreting the Modified Equation: Technique and Special Cases
  5. Graphs of Q = P + Aekt and Limiting Values
  6. Related Rates: Linking Rates of Change Using the Chain Rule
  7. Related Rates in Three-Dimensional and Composite Contexts
  8. Combining Growth/Decay Models with Related Rates
  9. HSC Exam Strategy and Common Question Types

9 sections · 17 key terms & formulas · 8 common mistakes

Common questions

What does the HSC Mathematics Extension 1 note "Further Rates of Change: Growth, Decay and Related Rates" cover?

This note has 9 sections on Further Rates of Change: Growth, Decay and Related Rates. It includes 17 key terms and formulas, plus 8 common mistakes. It covers 4, Further Applications of Calculus. The full section list is shown under “What this note covers”.

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