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Question 2. In the 1930s, the biologist G. F. Gause conducted an experiment with the protozoan Paramecium. He modelled his data with the following function,

Question 2. In the 1930s, the biologist G. F. Gause conducted an experiment with the protozoan Paramecium. He modelled his data with the following function, 46 P(t) = 1 + 31 e-0.7944t where P is the protozoan population after / days. (a) Find a formula for the rate of change of P. (b) Find the maximum possible population size (c) When will the growth of the population be fastest

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