(6) Bacteria Growth A population of bacteria is introduced into a culture. The number of bacteria...

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(6) Bacteria Growth A population of bacteria is introduced into a culture. The number of bacteria P can be modeled by P = 500 1 + (₁ 4t 50+ t² where t is the time (in hours) since the introduction. (a) Find P'(2). Include units. What does this mean? [1] (b) According to this model, what happens to the population as time increases without bound? Include units. [0.5] (6) Bacteria Growth A population of bacteria is introduced into a culture. The number of bacteria P can be modeled by P = 500 1 + (₁ 4t 50+ t² where t is the time (in hours) since the introduction. (a) Find P'(2). Include units. What does this mean? [1] (b) According to this model, what happens to the population as time increases without bound? Include units. [0.5]