Concept explainers
(a)
To find: The quadratic polynomial that best fits the given data.
(a)
Answer to Problem 2P
The quadratic polynomial that best fits the given data is equal to
Explanation of Solution
Given information:
The more corn a farmer plants per acre, the greater is the yield the farmer can expect, but only up to a point. Too many plants per acre can cause overcrowding and decrease yields. The data give crop yields per acre for various densities of corn plantings, as found by researchers at a university test farm.
Density(plants/acre) | Crop yield(bushels/acre) |
Calculation:
Take the density of the plants per thousand i.e.
For the quadratic model of data follow the steps below:
First press the
Go to
Now enter the keystrokes
Figure(1)
Therefore, the quadratic polynomial that best fits the given data is equal to
(b)
To graph: The
(b)
Explanation of Solution
Given information:
The more corn a farmer plants per acre, the greater is the yield the farmer can expect, but only up to a point. Too many plants per acre can cause overcrowding and decrease yields. The data give crop yields per acre for various densities of corn plantings, as found by researchers at a university test farm.
Density(plants/acre) | Crop yield(bushels/acre) |
Graph:
To graph the points on scatter plot, follow the steps using graphing calculator.
First press the
Go to
Now press the key
Now, press the
Figure (2)
(c)
To find: The yield for
(c)
Answer to Problem 2P
The yield for
Explanation of Solution
Given information:
The more corn a farmer plants per acre, the greater is the yield the farmer can expect, but only up to a point. Too many plants per acre can cause overcrowding and decrease yields. The data give crop yields per acre for various densities of corn plantings, as found by researchers at a university test farm.
Density(plants/acre) | Crop yield(bushels/acre) |
Calculation:
As observed from the graph of the function in part(b), the value of the function at
So, the crop yield for
Therefore, the yield for
Chapter 3 Solutions
Precalculus: Mathematics for Calculus - 6th 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