Concept explainers
(a)
To find: The
(a)
Answer to Problem 3AYU
The required plot is shown in Figure 1
Explanation of Solution
Given:
The given table is shown in table 1
Table 1
Time hours x | Population y |
0 | 100 |
1 | 88.3 |
2 | 75.9 |
3 | 69.4 |
4 | 59.1 |
5 | 51.8 |
6 | 45.5 |
Calculation:
Consider the time as independent variable.
The scatter plot for the functions in table 1 is shown in Figure 1
Figure 1
(b)
To find: The exponential model from the given data.
(b)
Answer to Problem 3AYU
The exponential function is
Explanation of Solution
From the graph shown in Figure 1, the exponential function with the help of the graphing utility is,
(c)
To find: The function from of the exponential model in the form of
(c)
Answer to Problem 3AYU
The required model is
Explanation of Solution
Given:
The exponential function is
Calculation:
Consider the given model is,
Compare the given function with the given model as,
(d)
To find: The graph of the exponential function from part (b) or (c) on the scatter diagram.
(d)
Answer to Problem 3AYU
The required plot is shown in Figure 2
Explanation of Solution
Given:
The exponential function is
Calculation:
The required plot is shown in Figure 2
Figure 2
(e)
To find: The half-life of the radio active material.
(e)
Answer to Problem 3AYU
The required time is of
Explanation of Solution
Given:
The exponential function is
Calculation:
Consider the given function then,
(f)
To find: The amount of radioactive material that will be left over 50 weeks.
(f)
Answer to Problem 3AYU
The amount of material is
Explanation of Solution
Given:
The exponential function is
Calculation:
Consider the given function is,
Then,
(g)
To find: The time at which there will only be 20 grams of the radioactive material.
(g)
Answer to Problem 3AYU
The required duration is of
Explanation of Solution
Given:
The exponential function is
Calculation:
Consider the given function is,
Then,
Chapter 5 Solutions
Precalculus
Additional Math Textbook Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
University Calculus: Early Transcendentals (4th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus and Its Applications (11th Edition)
University Calculus: Early Transcendentals (3rd Edition)
- 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