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 5595 years. suppose c(t) is the amount of carbon-14 present at time t.(a) find the value of the constant k in the differential equation c? =? kc
k =
(b) in 1988 three teams of scientists found that the shroud of turin, which was reputed to be the burial cloth of jesus, contained about 91 percent of the amount of carbon-14 contained in freshly made cloth of the same material(1). how old is the shroud of turin, according to these data?
age = years