Question: only need help with first. Time sensitive. Thank you! Another model for a growth function for a limited population is given by the Gompertz function,

only need help with first. Time sensitive. Thank you!

Another model for a growth function for a limited population is given by the Gompertz function, which is a solution of the differential equation dtdP=cln(PK)P where c is a constant and K is the carrying capacity. (a) Solve this differential equation for c=0.05,K=3000, and initial population P0=600 P(t)=ee(0.05t+.476)3000 (b) Compute the limiting value of the size of the population. limtP(t)= (c) At what value of P does P grow fastest? P=e3000

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