(a) Consider the initial-value problem dAdt kA, A(0) A0 as
Chapter 3, Problem 3.1.8(choose chapter or problem)
(a) Consider the initial-value problem dAdt kA, A(0) 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 written A(t) A02t/T. (c) If a radioactive substance has the half-life T given in part (a), how long will it take an initial amount A0 of the substance to decay to ? 9. W
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