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baldymcgee6

  • 3 years ago

Scientists discover a fossil that contains 74% as much radioactive carbon, 14C, as does a living mammal. Assuming the half-life of 14 C to be about 5730 years, write the ODE representing the decay of carbon in the specimen and estimate its age.

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  1. levinelevine
    • 3 years ago
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    whats ODE

  2. baldymcgee6
    • 3 years ago
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    ordinary differential equation

  3. levinelevine
    • 3 years ago
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    \[\frac{ \delta fc }{ \delta t }=-\frac{ \ln(2) }{ half-life }fc\]

  4. levinelevine
    • 3 years ago
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    where fc is the concentration of C14

  5. baldymcgee6
    • 3 years ago
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    right, I know the formula for half-life but i don't know how to get the ODE

  6. levinelevine
    • 3 years ago
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    thats the ODE

  7. levinelevine
    • 3 years ago
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    you want the process to get there?

  8. baldymcgee6
    • 3 years ago
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    yes please

  9. levinelevine
    • 3 years ago
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    Im too tired to explain how i got there, its a little bit complicated... srry mate

  10. baldymcgee6
    • 3 years ago
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    Alright, thanks anyways.

  11. levinelevine
    • 3 years ago
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    but do u know how to solve that?

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