Limited Population Growth in a Lake. A lake isstocked with 640 fish of a new variety
Chapter 5, Problem 18(choose chapter or problem)
Limited Population Growth in a Lake. A lake isstocked with 640 fish of a new variety. The size ofthe lake, the availability of food, and the numberof other fish restrict the growth of that type offish in the lake to a limiting value of 3040. Thepopulation of fish in the lake after time t, inmonths, is given by the functionP1t2 =30401 + 3.75e-0.32t .a) Graph the function.b) Find the population after 0, 1, 5, 10, 15, and20 months.Newtons Law of Cooling. Suppose that a body withtemperature T1 is placed in surroundings with temperatureT0 different from that of T1. The body willeither cool or warm to temperature T1t2 after time t,in minutes, whereT1t2 = T0 + 1T1 - T02e-kt.Use this law in Exercises 1922.
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