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,

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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

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

#faazmessi

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas