Radium 226 is a radioactive substance with a decay constant .00043. Suppose that radium 226 is being

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Radium 226 is a radioactive substance with a decay constant .00043. Suppose that radium 226 is being continuously added to an initially empty container at a constant rate of 3 milligrams per year. Let P(t) denote the number of grams of radium 226 remaining in the container after t years.

(a) Find an initial-value problem satisfied by P(t).

(b) Solve the initial-value problem for P(t).

(c) What is the limit of the amount of radium 226 in the container as t tends to infinity?

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Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

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