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

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Advance Math

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

dP/dt=cln(K/P)P

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

1. Solve the differential equation with aconstant c=0.15, carrying capacity K=3000, andinitial population P0=1000

Answer: P(t)=?

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

Limit:?

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