(a) Consider the initial-value problemdA/dt = kA,A(O) = A0, as the model for the decay
Chapter 2, Problem 8(choose chapter or problem)
(a) Consider the initial-value problemdA/dt = kA,A(O) = A0, as the model for the decay of a radioactive substance. Show that, in general, the half-life T of the substance is T = -(ln 2)/k. (b) Show that the solution of the initial-value problem in part (a) can be writtenA(t) = AOJ.-tn. ( c) If a radioactive substance has a half-life T given in part (a), how long will it take an initial amount Ao of the substance to decay tot.Ao?
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