A bacteria culture is growing at a rate of r(t) = 3e^0.4t thousand bacteria per hour after t hours. How much did the bacteria population increase during the first two hours? (Round your answer to three decimal places.)

Answer 1

the population is p(t) = ∫r(t) dt = 3/.4 e^0.4t = 7.5 e^0.4t
so the increase in the first two hours is
1000* 7.5 (e^0.8 - e^0) = 9192