Calculus

A bacteria population is 3000 at time
t = 0
and its rate of growth is
1000 · 6t
bacteria per hour after t hours. What is the population after one hour? (Round your answer to the nearest whole number.)

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  1. dp/dt = 6000 t
    p = 3000 t^2 + c
    at t = 0, p = c = 3000
    p = 3000 t^2 + 3000
    p at t = 1 = 3000+3000 = 6000

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