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Exponential population growth models how a population increases when resources are unlimited. P(t) = P₀ × e^(rt). Real populations are limited by carrying capacity.

단계별 가이드

  1. 1P(t) = P₀ × e^(rt)
  2. 2Doubling time T₂ = ln(2)/r ≈ 0.693/r
  3. 3r = ln(Pt/P₀)/t
  4. 4Negative r = population decline

풀어진 예시

입력
P₀=1,000 · r=0.05/yr · t=20yr
결과
P(20) = 2,718
1000×e^1.0=2718

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