11 A colony of bacteria grows at a rate proportional to the number of bacteria present. Write down a differential equati
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11 A colony of bacteria grows at a rate proportional to the number of bacteria present. Write down a differential equati
11 A colony of bacteria grows at a rate proportional to the number of bacteria present. Write down a differential equation that can be used to model this situation. a b The number of bacteria in the colony increases by 20% in the first 5 hours. Show that N = N₁e where: N, is the initial number of bacteria in the colony at t=0 k is a constant, which you should give as an exact value. [2 marks] [7 marks]
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