At each instant, a radioactive substance decomposes and is thus decaying in time proportional to the amount of substance present. By the physical law, the decay is governed by an ODE. Please write it down. а. b. Please solve the ODE. If the half-life of 1C equals 5715 years, determine the constant. What should be the 1C content of a fossilized tree that is claimed to be 3000 years old? с. d.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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At each instant, a radioactive substance decomposes and is thus decaying in time
proportional to the amount of substance present.
By the physical law, the decay is governed by an ODE. Please write it
down.
а.
Please solve the ODE.
If the half-life of 1C equals 5715 years, determine the constant.
What should be the 1C content of a fossilized tree that is claimed to be
3000 years old?
b.
с.
d.
Transcribed Image Text:At each instant, a radioactive substance decomposes and is thus decaying in time proportional to the amount of substance present. By the physical law, the decay is governed by an ODE. Please write it down. а. Please solve the ODE. If the half-life of 1C equals 5715 years, determine the constant. What should be the 1C content of a fossilized tree that is claimed to be 3000 years old? b. с. d.
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