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3. (8 marks) Suppose that when a patient takes a blood thinner drug, the amount of drug (in mg) in the patient's blood can be

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3. (8 marks) Suppose that when a patient takes a blood thinner drug, the amount of drug (in mg) in the patient's blood can be modelled by: A(t) = te'\" where time t > I] is measured in hours. and where k is some positive constant. (a) Find all critical point(s) of the function A (where t > 0) and determine if they are local maximum(s) or minimum(s). Remember to find both 13- and Avalues (Le. both coordinates of the point). You should answer with exact values, and your answers might depend on k

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