A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg. Write the particular solution to the differential equation which will describe the amount of isotope after time t, where t is measured in minutes. O A(t) = 10e²t O A(t) = 10e-0.5t O A(t) = 10e-2t ○ A(t) = 10e0.5t

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg.
Write the particular solution to the differential equation which will describe the amount of isotope after time t, where t is measured in
minutes.
O A(t) = 10e²t
o A (t) = 10e-0.5t
○ A(t) = 10e-2t
○ A(t) = 10e0.5t
Transcribed Image Text:A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg. Write the particular solution to the differential equation which will describe the amount of isotope after time t, where t is measured in minutes. O A(t) = 10e²t o A (t) = 10e-0.5t ○ A(t) = 10e-2t ○ A(t) = 10e0.5t
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