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Mathematics, 12.10.2019 06:50 larissa1013

The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the organism dies, after which it decays to stable carbon-12 at a rate proportional to the amount of carbon-14 present, with a half-life of 5556 years. suppose c(t) is the amount of carbon-14 present at time t. the exponential decay differential equation that models this scenario is c'=-kc . solve the differential equation to answer the following questions.
(a) find the value of the constant k in the differential equation.

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