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CalculusQ&A LibraryA chemical reagent is introduced into a bacterial population, and t hours later the number of bacteria (in thousands) is N(t) = 1300 + 24t2 − t3 (for 0 ≤ t ≤ 24).(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 hourWhat word applies to such a point?a)minimum pointb)inflection point c)rate pointd)maximum pointe) critical poinQuestion

Asked Feb 13, 2020

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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) = 1300 + 24t^{2} − t^{3}

(for 0 ≤ t ≤ 24).

(a) When will the population be the largest?

thousand bacteria

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

How fast?

thousand bacteria per hour

What word applies to such a point?

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

What word applies to such a point?

a)minimum point

b)inflection point

c)rate point

d)maximum point

e) critical poin

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