Concept explainers
a.
Find the equation analytically.
a.
Answer to Problem 5PS
Explanation of Solution
Given information:
The parabola shown in the figure has an equation of the form
Calculation:
We can find the equation analytically as follows.
We know that value at
Also we know that the roots of the
So the factors should be
So we will multiply these factors with a negative sing in front of them.
So the equation is
So the answer is
b.
Use the regression feature of a graphing utility to find the equation.
b.
Answer to Problem 5PS
We get an approximate answer because there is always a limit to the floating number calculation and so we can get the answer up to certain limit. Therefore we get the same answer by using graphing utility.
Explanation of Solution
Given information:
The parabola shown in the figure has an equation of the form
Calculation:
We will get the same expression while solving it with graphing utility. For that first we have to types the inputs of the functions. The input
For example: if the point is
Then to get the polynomial we have to type these function.
Polynomial Fit
Here
So we will get the following equation
Which if approximated becomes
We get an approximate answer because there is always a limit to the floating number calculation and so we can get the answer up to certain limit. Therefore we get the same answer by using graphing utility.
Chapter 2 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