14. Radioactive Radium The half-life of radium-226 is 1600 years. Suppose we have a 22-mg sample. (a) Find a function that models the mass remaining after t years. Exbicza (b) How much of the sample will remain after 4000 years! (c) After how long will only 18 mg of the sample remain!

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
icon
Concept explainers
Topic Video
Question
#14
tion
hour. When a certain critical number of bacteria are present
Look up
California's
actual population in 2000, and compare.
13. Infectious Bacteria An infectious strain of bacteri.
increases in number at a relative growth rate of 200%
per
in the bloodstream, a person becomes ill. If a single
bacterium infects a person, the critical level is reached in
24 hours. How long will it take for the critical level to be
reached if the same person is infected with 10 bacteria?
14-22 - These exercises use the radioactive decay model.
14. Radioactive Radium The half-life of radium-226 is 1600
years. Suppose we have a 22-mg sample. a
(a) Find a function that models the mass remaining after
t years.
(b) How much of the sample will remain after 4000 years?
(c) After how long will only 18 mg of the sample remain!
15. Radioactive Cesium The half-life of cesium-137 is
30 years. Suppose we have a 10-g sample.lugot da
(a) Find a function that models the mass remaining atfter
t years.
(b) How much of the sample will remain after 80 years.
(c) After how long will only 2 g of the sample remain?
g aftert
16. Radioactive Thorium The mass m(t)
days from a 40-g sample of thorium-23
-0.027
m(t)
40e
Hou muoh of the sample will re
ays?
(o)
Transcribed Image Text:tion hour. When a certain critical number of bacteria are present Look up California's actual population in 2000, and compare. 13. Infectious Bacteria An infectious strain of bacteri. increases in number at a relative growth rate of 200% per in the bloodstream, a person becomes ill. If a single bacterium infects a person, the critical level is reached in 24 hours. How long will it take for the critical level to be reached if the same person is infected with 10 bacteria? 14-22 - These exercises use the radioactive decay model. 14. Radioactive Radium The half-life of radium-226 is 1600 years. Suppose we have a 22-mg sample. a (a) Find a function that models the mass remaining after t years. (b) How much of the sample will remain after 4000 years? (c) After how long will only 18 mg of the sample remain! 15. Radioactive Cesium The half-life of cesium-137 is 30 years. Suppose we have a 10-g sample.lugot da (a) Find a function that models the mass remaining atfter t years. (b) How much of the sample will remain after 80 years. (c) After how long will only 2 g of the sample remain? g aftert 16. Radioactive Thorium The mass m(t) days from a 40-g sample of thorium-23 -0.027 m(t) 40e Hou muoh of the sample will re ays? (o)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning