Q. 64 - Calculus

Question

Leila needs to determine the number of trout to stock a

lake with annually. She has evidence that between 65%

and 95% of the trout persist in the lake from year to year.

The actual percentage varies with the amount of fishing,

as well as the weather, the number of insects available,

and the fraction of the trout that are of a reproductive age.

Denote the fraction of fish that persist from one year to

the next by r k ∈ [0.65, 0.95]. For simplicity, Leila assumes

that limk→∞ r k = 0.80. The number of fish she stocks an-

nually is denoted s, with the steady number of fish in the

Step-by-Step Solution

Answer

$$x^2+y^2$$

Step 1. Given Information

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Step 2. Explanation

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