Conservation—Trout Population: The local game commission decided to stock Lake Clouster wi...

Conservation—Trout Population: The local game commission decided to stock Lake Clouster with 200 trout. The subsequent population of trout in the lake can be modeled by

where x represents the number of months since the lake was stocked, and P(x) represents the trout population.

(a) Use the model to determine the trout population one year after the lake was stocked.

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(b) Determine and interpret. This is called the limiting size of the population.