a.
Find a quadratic model for the data.
a.
Answer to Problem 74E
Explanation of Solution
Given information:
The data in the table show the number
Use the regression feature of a graphing utility to find a quadratic model for the data.
Calculation:
Using as number of years since 2000, the given table can be replaced as
Enter the data from given table into your graphing utility calculator.
To enter the data first press
Now input all the data given sets followed by
Before you use regression feature, make sure to enter the DignosticOn command stored in
The calculator does not show the value of
Press the
Move the cursor to the quadratic regression function.
Press
Regression equation is stored in
Now press
Hence, from the above display, write the Quadratic Regression equation
b.
Estimate the slope of the graph.
b.
Answer to Problem 74E
Explanation of Solution
Given information:
The data in the table show the number
Use the graphing utility to graph the model found in part (a). Estimate the slope of the graph when
Calculation:
The regression equation
Press the
Press the
To estimate slope of
To copy the function
To estimate slope of
To copy the function
Hence, from the above display, slope of the graph when
c.
Graph the tangent line to the model.
Compare the slope.
c.
Answer to Problem 74E
Explanation of Solution
Given information:
The data in the table show the number
Use the graphing utility to graph the tangent lines to the model
Calculation:
To graph the tangent line to the
Input the value
From the above display, at
Hence, the slope obtained above
To graph the tangent line to the
Input the value
From the above display, at
Hence, the slope obtained above
d.
Explain what this means to the company selling the books.
d.
Answer to Problem 74E
If the price per book is different,the then the number of books sold will be different.
Explanation of Solution
Given information:
The data in the table show the number
The slopes of the of the tangent at
Calculation:
The slope of the tangent at
The different slopes of line represents that if the price per book is different,the then the number of books sold will be different.
Chapter 12 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