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How to find the carrying capacity of a population?

Answer 1

Cameron Alexander

Given the population as a function of time #t#, call it #P(t)# you need to find #lim_(t rarr oo) P(t)#.

That limit is the carrying capacity.

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Answer 2

Ezekiel Alexander

To find the carrying capacity of a population, you typically use mathematical models based on factors such as available resources, environmental conditions, and population growth rates. One common model is the logistic growth model, which uses differential equations to describe how a population grows in an environment with limited resources. The carrying capacity (K) is the maximum population size that the environment can sustain over the long term. It can be estimated using empirical data or determined mathematically by analyzing the equilibrium point of the logistic growth equation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.