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Brilliant_brown [7]
2 years ago
12

Carey is organizing her books and putting them on

Mathematics
1 answer:
Aleksandr [31]2 years ago
5 0
They are multiplying by 4 each set of numbers
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The number of species n found on islands typically increases with the area of the island A. Suppose that this relationship is su
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n(A) = n_1A^k

Step-by-step explanation:

Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:

\frac{dn}{dA} = k\frac{n}{A}

This differential equation can be solved by the method of separable variables like this:

\frac{dn}{n} = k\frac{dA}{A} with what you get:

\int\ {\frac{dn}{n}}\ = k\int\ {\frac{dA}{A}}

ln|n| = kln|A|+C. Taking exponentials on both sides of the equation:

e^{ln|n|} = e^{ln|A|^{k}+C}

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how do you have to n (1) = n_1, then

n(A) = n_1A^k

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