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After spawning Pacific salmon die so it is natural to measure the population size by year....

After spawning Pacific salmon die so it is natural to measure the population size by year. Assume that if the salmon population in the current year is x, then the population in the following year is given by the function f indicated below (here a and b are positive constants). f(x) = axe−bx [3] (a) Determine all current population sizes for which the following year will have the same population size. [3] (b) Find the current population size that maximizes the size of the following year population.

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