a bacteria culture grows according to the formula, Mathematics

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a bacteria culture grows according to the formula

A bacteria culture grows according to the formula N (t) =-4T2 + 40t + 25, where N is the number of bacteria after t minutes from the start.

a) At what time is the growth rate of 20 new bacteria per minute?

b) How many bacteria are there at this time in the bacterial culture?

c) At what time is the number of bacteria that most

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