Another model for a growth function for a limited population is given by the gompertz function, which is a solution to the differential equation dpdt=cln(kp)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=0.05, carrying capacity k=3000, and initial population p0=1000.

The solution is

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Step-by-step explanation:

We have the Gompertz's differential equation

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Notice that this a separable equation. So,

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Now, integrating in both sides:

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Recall that

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Thus,

,

and taking exponential:

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Taking another exponential

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Now, let us substitute the given values for c and K:

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To find the value of the constant A'' we use the initial condition:

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Then,

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Hence, the solution is

a) 32pie square meters

step-by-step explanation:

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.