The population model given in (1) in Section 1.3 dP = kP dt dP or (1) dt fails to take death into consideration; the growth rate equals the birth rate. In another model of a changing population of a community it is assumed that the rate at which the population changes is a net rate-that is, the difference between the rate of births and the rate of deaths in the community. Determine a model for the population P(t) if both the birth rate and the death rate are proportional to the population present at time t > 0. (Assume the constants of proportionality for the birth and death rates are k, and k, respectively. Use P for P(t).) dP dt Submit Answer

The population model given in (1) in Section 1.3 dP = kP dt dP or (1) dt fails to take death into consideration; the growth rate equals the birth rate. In another model of a changing population of a community it is assumed that the rate at which the population changes is a net rate-that is, the difference between the rate of births and the rate of deaths in the community. Determine a model for the population P(t) if both the birth rate and the death rate are proportional to the population present at time t > 0. (Assume the constants of proportionality for the birth and death rates are k, and k, respectively. Use P for P(t).) dP dt Submit Answer

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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