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When a bactericide was added to a nutrient broth in which bacteria were growing, the bacterium population continued to grow for awhile but then stopped

When a bactericide was added to a nutrient broth in which bacteria were growing, the bacterium population continued to grow for awhile but then stopped growing and began to decline.

The size of the population at time (t) hours was b(t) = 10^6 + (10^4)t -(10^3)t^2.

Find the growth rates at t=0, t=5, and t=10 hours. 

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