Explanation Given information: A sample of bismuth Bismuth − 210 that initially had a mass of 1000 mg decayed 500 mg in 5 days . Formula used: d N d t = N Calculation: Consider the general differential equation. − d N d t = k N d N N = k d t Now apply set the initial conditions as shown. N ( 0 ) = 1000 mg N ( 5 ) = 500 mg Integrate both sides with the initial conditions. ∫ 1000 500 d N N = − k ∫ 0 5 d t | ln N | 1000 500 = − 5 k ln 500 − ln 1000 = − 5 k ln 500 1000 = − 5 k −

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 9.1, Problem 54E

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Set up and solve an initial value problem for determine by M(t).

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Chapter 9.1, Problem 53E

Chapter 9.1, Problem 55E

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Chapter 9 Solutions

Calculus: Early Transcendentals

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Set up and solve an initial value problem for determine by M ( t ) .

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Chapter 9 Solutions