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On October 17, 2006, in an article called “US Population Reaches 300 Million,” the BBC
reported that the US gains 1 person every 11 seconds. If f(t) is the US population in millions t years after October 17, 2006, find f(0) and f′(0)

Respuesta :

Count t beginning from the year 2006.

f(t) = population, millions, where t =  seconds.
Therefore
f(0) = 300

Because the population increases at 1 person per 11 seconds when t=0, therefore
f'(0) = (1 x 10⁻⁶ million)/(11 s) = 9.091 x 10⁻⁸

Answer:
f(0) = 300
f'(0) = 9.091 x 10⁻⁸

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