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certain chemical involved in the reaction changes at a rate that s inversely proportional to...

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Calculus

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certain chemical involved in the reaction changes at a rate that s inversely proportional to the product of the mass of the chemical present in grams and the time elapsed since the reaction began in seconds A The mass m m t of this chemical is modeled with what differential equation for time 12 1 second B The solution to the differential equation modeling the mass m of the chemical at time t seconds is m t 2kInt C for t 1 where k and C are undetermined constants Show how this equation is derived from your answer in part A C Suppose that the amount of this chemical involved in the reaction is 40 grams at time t 1 second and 30 grams at time t 10 seconds Find an explicit equation for the mass m of the chemical as a function of t for t 1 Your equation should not involve any unknown constants or any calculator numbers D According to your equation for m t in part Cat what time

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