Concept explainers
a.
Tofind: the logistic model of the data by using regression feature of graphing utility.
a.
Answer to Problem 121CR
The level of sound is
Explanation of Solution
Given information:
Year | Height |
Calculation:to find the logistic model of data, use the regression feature of graphing utility and put the data,
Thus, the logistic model of data is
b.
To graph: the model with the original data.
b.
Explanation of Solution
Given information:
The model is
Graph: Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press
Step 3: Enter the expression
Step 4: Press GRAPH button to graph the function.
The graph is obtained as:
Interpretation: from the above graph it can be observed thatthe height of the tree when it is plant is
c.
To state: that how closely the model represent the data.
c.
Answer to Problem 121CR
The logistic model is the better fit for the data.
Explanation of Solution
Given information:
Year | Height |
the data is more fits in the logistic model.
Thus, the logistic model of data is
d.
To find: the limiting height of the tree.
d.
Answer to Problem 121CR
The limiting height of the tree is
Explanation of Solution
Given information:
Year | Height |
Calculation: the limiting value of a logistic model
And the above data logistic model is
Thus, the limiting value is
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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