Nt = N0 e^rt where Nt = Population density after time t N0 = Population density at time zero r = intrinsic rate of natural increase e = the base of natural logarithms (2.71828)
This equation describes exponential population growth where population density increases at a constant rate over time. The 'e' (2.71828) is crucial—students often confuse it with other constants or forget it's the base of natural logarithms, not just a random number. The key trap: forgetting that 'r' is the intrinsic rate (birth rate minus death rate) and that this model assumes unlimited resources. To solve NEET questions correctly, remember Nt increases exponentially when r is positive, and always use the exact value of e provided. This formula directly models real population dynamics tested frequently in ecology units.
In the exponential growth equation , e represents: (NEET 2021)
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