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anonymous

  • 5 years ago

Calculus II: Exponential Change Problem? Can you please help me with this problem: The Charcoal From tree killed in the volcanic eruption that formed Crater Lake in Oregon contained 44.5% of the carbon-14 found in living matter. About how old in Crater Lake?

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  1. bahrom7893
    • 5 years ago
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    The fraction of original amount present in a sample is µ = y/y₀ = e^(- k·t ) <=> t = - (1/k)·ln(µ) = - 8266y · ln( 0.445 ) = 6693y

  2. anonymous
    • 5 years ago
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    where did that( - 8266y) come from :/

  3. bahrom7893
    • 5 years ago
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    okay so: t(1/2) = 5730 y <= half life of C14

  4. bahrom7893
    • 5 years ago
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    1/k = t1/2 / ln(2) = 8266y

  5. bahrom7893
    • 5 years ago
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    1/k = (t[1/2]) / ln(2) = 8266y

  6. anonymous
    • 5 years ago
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    oh ok i see... but in the book..it says the answer is 6658 years..does it matter?

  7. bahrom7893
    • 5 years ago
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    no, half life of C14 is not very precise... we'll always be off by several years, that's not really relevant

  8. bahrom7893
    • 5 years ago
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    depends on how u round off, etc.. we are off by how many around 35 years. I know it seems a lot, but i think its fine. Fan me if I helped. Thanks

  9. bahrom7893
    • 5 years ago
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    http://faculty.eicc.edu/bwood/ma155supplemental/supplemental5.htm btw just found ur exact problem there. they are getting ur book's answer, u might wanna take a look at example 4

  10. anonymous
    • 5 years ago
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    Thank you so much! how do i fan you?

  11. bahrom7893
    • 5 years ago
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    Click on Become a fan next to my name lol

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