Concept explainers
(a)
To graph: The
(a)
Answer to Problem 59E
The model fits to the given set of data as all the points lies on the graph of model.
Explanation of Solution
Given information:
The table shows the numbers
Year | Ready reserves, |
A model for the data is given by
Calculation:
To graph the points on scatter plot, follow the steps using graphing calculator.
First press the
Go to
Now go to
Now, press the
Figure (1)
The model fits to the given set of data as all the points lies on the graph of model.
(b)
To find: The number of ready reserves in
(b)
Answer to Problem 59E
The number of ready reserves in
Explanation of Solution
Given information:
The table shows the numbers
Year | Ready reserves, |
A model for the data is given by
Calculation:
As
Substitute
Further simplify,
So, the number of ready reserves in
Substitute
Further simplify,
So, the number of ready reserves in
Therefore, the number of ready reserves in
(c)
To find: The limit of the model as
(c)
Answer to Problem 59E
The limit of the model as
Explanation of Solution
Given information:
The table shows the numbers
Year | Ready reserves, |
A model for the data is given by
Calculation:
Simplify the limit.
Further simplify,
Therefore, the limit of the model as
(d)
To check: Whether the given model is best fit for the calculation of future numbers of ready reserves.
(d)
Answer to Problem 59E
No, this is not the best model for the calculation of future numbers of ready reserves as the number of ready reserves becomes infinite at
Explanation of Solution
Given information:
The table shows the numbers
Year | Ready reserves, |
A model for the data is given by
Calculation:
As observed from the graph of the model in part(a), the number of ready reserves at
This is not possible in real life.
Therefore, this model is not the best fit for the calculation of future numbers of ready reserves.
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
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