A 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 poin

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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 + 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 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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Calculus