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1. The amount of a substance in grams, N, decays over time in minutes, &, according to = -AN, where A is a decay

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1. The amount of a substance in grams, N, decays over time in minutes, &, according to " = -AN, where A is a decay constant. (7 marks): (a) Solve the differential equation for N(t) (b) Find the unique solution if initially there are 200 grams of the substance, and after 10 minutes there are 50 grams of the substance remaining. (c) What is the half-life of the substance

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