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 5551 years. suppose c(t) is the amount of carbon-14 present at time t.

(a) find the value of the constant kk in the differential equation c′=−kc.

k-0.000125

Step-by-step explanation:

Given that 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 5551 years.

, where C_1 is arbitrary constant.

Or

To find K.

C(t) = 1/2 C when t = 5551

i.e. A will become A/2 in 5551 years

good luck!

cutie~

right

step-by-step explanation: