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 5594 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 1.24*10^-4 = (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 was old the Shroud of Turin in 1988, according to these data? Age 773.038 years =
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 5594 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 1.24*10^-4 = (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 was old the Shroud of Turin in 1988, according to these data? Age 773.038 years =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
part 2 is not correct please solve it
![Entered
0.000124
773.038
=
At least one of the answers above is NOT correct.
Answer Preview
1.24. 10-4
773.038
(a) Find the value of the constant k in the differential equation C'=-kC.
k
1.24*10^-4
[1]: The New York Times, October 18, 1988.
Result
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 5594 years. Suppose C(t) is the amount of carbon-14
present at time t.
correct
incorrect
(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 was old the Shroud of Turin in 1988, according to these data?
Age = 773.038
years](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe70859f-d1ee-4d19-93f5-d3c21b44393e%2Fca13bbb7-955d-4745-9442-5442a95abb24%2F4rg736l_processed.png&w=3840&q=75)
Transcribed Image Text:Entered
0.000124
773.038
=
At least one of the answers above is NOT correct.
Answer Preview
1.24. 10-4
773.038
(a) Find the value of the constant k in the differential equation C'=-kC.
k
1.24*10^-4
[1]: The New York Times, October 18, 1988.
Result
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 5594 years. Suppose C(t) is the amount of carbon-14
present at time t.
correct
incorrect
(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 was old the Shroud of Turin in 1988, according to these data?
Age = 773.038
years
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