The population of mice in alfred is given by p(t)=2654e7t, where t is in years since 1986. the rate of change of the population is given by the formula
(2654)(7e^(7t)) mice/yr. in year 1991 the population changes by approximately
2.946495792e19 mice. in 1991 8064483601014110592 mice died, which means that how much mice were born that year?

First, we determine t.

t = 1991 - 1986 = 5 years

We use t=5 to find the population in 1986 and the rate of change of population.

Population in 1986:



Rate of change of population



Next, we determine the population in 1991. 







Finally, we subtract the number of deaths from the total population to obtain the number of births:



Therefore, a total estimate of 143,645,516,400,000,000,000 mice were born in 1991.

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