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Question 2: {3 marks) The growth rate 9 of a type of bacteria in dependent on tem- perature T, in a known way. If T is a known function of time t,...

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Question 2: {3 marks) The growth rate 9 of a type of bacteria in dependent on tem-perature T, in a known way. If T is a known function of time t, then the growth rate is aknown function of time, 5 = 9(3). Sho‘ar that the size of the bacteria population pa} in PR) = rue-Xe (men,where ya = p(0) and Sam is the average of the growth rate gm over the interval [0. t].
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