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  3. uppose that the mass m of a sample of radioactive...

Question: uppose that the mass m of a sample of radioactive...

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uppose that the mass M of a sample of radioactive material decays at a rate propor- tional to the current mass. That is, the mass M satisfies a differential equation of the form d.M dt for some constant r. If the half-life of the material (the timeit takes for half of the sample to decay is τ measured in the sane units as the t in the differential equation above seconds, days, years, whatever), determine r as a function of T
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