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. ○ A(t) = 10e²t ○ A(t) = 10e-0.5t O A(t) = 10e-2t o A (t) = 10e0.5t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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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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