Suppose that 0 < z < 1 for all z. Solve the logistic Equation (6) as in
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Suppose that 0 < z < 1 for all z. Solve the logistic Equation (6) as in Exercise 39. Verify that b = ekx0 , where x0 is the time at which z = 1/2.
Equation (6)
A certain nature reserve can support no more than 4000 mountain goats. Assume that the rate of growth is proportional to how close the population is to this maximum, with a growth rate of 20 percent. There are currently 1000 goats in the area.
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