A lake polluted by bacteria is treated with an antibacterial chemical. After t days, the number N

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A lake polluted by bacteria is treated with an antibacterial chemical. After t days, the number N of bacteria per milliliter of water is approximated by

for 1 ≤ t ≤ 15.
(a) When during this time will the number of bacteria be a minimum?
(b) What is the minimum number of bacteria during this time?
(c) When during this time will the number of bacteria be a maximum?
(d) What is the maximum number of bacteria during this time?

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