The required value of k is 0.014.
Population given in the form of exponential function P = 25000e^kt. Value of k to be determine.
The function which is in format f(x) = Β where, a is constant and x is variable, Β the domain of this exponential function Β lies Β (-β, β).
Here,
After t = 10 years population increases by 10 million.
So,
35000 = 25000e^10k
e^10k=35/25
10k= log(35/25)
10k = 0.146
k = 0.014
Thus, the required value of k is 0.014.
Β
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