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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 carbon14 found in living matter. About how old in Crater Lake?
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 carbon14 found in living matter. About how old in Crater Lake?

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bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0The 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

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0where did that(  8266y) come from :/

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0okay so: t(1/2) = 5730 y <= half life of C14

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.01/k = t1/2 / ln(2) = 8266y

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.01/k = (t[1/2]) / ln(2) = 8266y

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh ok i see... but in the book..it says the answer is 6658 years..does it matter?

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0no, half life of C14 is not very precise... we'll always be off by several years, that's not really relevant

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0depends 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

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0http://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

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you so much! how do i fan you?

bahrom7893
 5 years ago
Best ResponseYou've already chosen the best response.0Click on Become a fan next to my name lol
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