Question

When a bactericide was added to a nutrient broth in which bacteriawere growing, the bacterium population continued to grow for awhile but then stopped growing and began to decline. The size ofthe population at time (t) hours was b(t) = 10^6 + (10^4)t -(10^3)t^2. I need to find the growth rates at t=0, t=5, andt=10 hours.

Answer 1

b(t) = 10^6 + (10^4)t - (10^3)t^2

take the derivative:




So growth rate at t = 0

   (answer)

Growth rate at t = 5

    (answer)

Growth rate at t = 10

(answer)