Question

The population of mice in Alfred is given by P(t)=2553e^2t, where t is in years since 1986. The rate of change of the population is given by the formula _________ mice/yr. In year 1987 the population changes by approximately
mice. In 1987 10362 mice died, which means that _____ mice were born that year.

Answer 1

take the derivative

Answer 2

@satellite73 would this be correct? 5106e^2t

Answer 3

yes

Answer 4

so is that the Rate of Change?

Answer 5

as far as i can tell, yes

Answer 6

for one year, put \(t=1\)

Answer 7

@satellite73 okay. How would you find how many were born?