As we saw in Section 5.5, a radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e“, where m(0) is the initial mass and k is a negative constant. The mean life M of an atom in the substance is M = -k [" te" dt Jo For the radioactive carbon isotope, "C, used in radio- carbon dating, the value of k is -0.000121. Find the mean life of a 1"C atom.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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As we saw in Section 5.5, a radioactive substance decays
exponentially: The mass at time t is m(t) = m(0)e“, where
m(0) is the initial mass and k is a negative constant. The
mean life M of an atom in the substance is
M = -k [" te" dt
Jo
For the radioactive carbon isotope, "C, used in radio-
carbon dating, the value of k is -0.000121. Find the mean
life of a 1"C atom.
Transcribed Image Text:As we saw in Section 5.5, a radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e“, where m(0) is the initial mass and k is a negative constant. The mean life M of an atom in the substance is M = -k [" te" dt Jo For the radioactive carbon isotope, "C, used in radio- carbon dating, the value of k is -0.000121. Find the mean life of a 1"C atom.
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