Further Rates of Change: Growth, Decay and Related Rates
What this note covers
- Differential Equations and the General Growth/Decay Model
- Half-Life and Doubling Time
- The Modified Law: dN/dt = k(N − P) and Newton's Law of Cooling
- Solving and Interpreting the Modified Equation: Technique and Special Cases
- Graphs of Q = P + Aekt and Limiting Values
- Related Rates: Linking Rates of Change Using the Chain Rule
- Related Rates in Three-Dimensional and Composite Contexts
- Combining Growth/Decay Models with Related Rates
- 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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