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A chemical reagent is introduced into a bacterial population, and t hours later the number of bacteria (in thousands) is N(t) = 1100 + 21t2 - t3 (for 0 ≤ t ≤ 21).

(a) When will the population be the largest?

T=

How large will it be?

thousand bacteria=

(b) When will the population be growing at the fastest rate?

T=

How fast?

thousand bacteria per hour=

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