Concept explainers
To find: an expression for the time
Answer to Problem 13PS
The time required for the samples to decay to equal amounts id
Explanation of Solution
Given information:
Two different samples of radioactive isotopes are decaying. The isotopes have initial amounts of
Calculation:
We know that the radioactive isotopes decay exponentially. So, the decay function for the isotopes will be
Taking the natural logarithms on both sides,
Using the property of natural logarithm,
Hence, the time required for the samples to decay to equal amounts id
Chapter 3 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning