Another model for a growth function for a limited population is given by the Gompertz function,...

Another model for a growth function for a limited population is given by the Gompertz function, which is a solution to the differential equation

dP/dt=cln(K/P)P

where c is a constant and K is the carrying capacity. Answer the following questions

1. Solve the differential equation with a constant c=0.15, carrying capacity K=3000, and initial population P0=1000

Answer: P(t)=?

2. With c=0.15, K=3000, and Po=1000, find limt→∞P(t).

Limit:?

Expert Solution

Given that

Colby Messinger answered 1 year ago

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