The number of birds of a certain species in a forested region is recorded over several years.

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The number of birds of a certain species in a forested region is recorded over several years. At time t years, the number of birds is N, where N is treated as a continuous variable.

The variation in the number of birds is modelled byIt is given that N = 300 when t = 0.
i. Find an expression for N in terms of t.
ii. According to the model, how many birds will there be after a long time?

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