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Show all working 3. Hill's equation for the oxygen saturation of blood states that the level of oxygen saturation (fraction of hemoglobin molecules that are

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3. Hill's equation for the oxygen saturation of blood states that the level of oxygen saturation (fraction of hemoglobin molecules that are bound to oxygen) in blood can be represented by a function f (P) = , where P is the oxygen concentration around the blood (P 2 0) and n is a parameter that varies between different species. a. Assume that n = 1. Show that f (P) is an increasing function of P and that f (P) -> 1 as P - co. b. Assuming that n = 1 show that f (P) has no inflection points. Is it concave up or concave down everywhere

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