
Limited population growth. A lake is stocked with 400 rainbow trout. The size of the lake, the availability of food, and the number of other fish restrict population growth to a limiting value of 2500 trout. (see Exercise 42). The population of trout in the lake after time t, in months, is approximated by
a. Find the population after 0 months, 1 months, 5 months, 10 months, 15 months, and 20 months.
b. Find the rate of change,
c. Sketch a graph of the function.

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