(a)
To find: The linearization of the given function at
(a)
Answer to Problem 31E
The linearization of given function
Explanation of Solution
Given information:
Concept used: The formula for Linearization is given as
Calculation:
Determine the value of
Differentiate the given function with respect to
Now, find the value of
So, the linearization of the given function at
(b)
To find: The quadratic approximation of the given function at
(b)
Answer to Problem 31E
The quadratic approximation is
Explanation of Solution
Given information:
Concept used: The quadratic approximation of a function is a second order series given as,
Calculation:
Determine the value of
Differentiate the given function with respect to
Now, find the value of
Also, find the value of
So, the quadratic approximation of the given function at
Chapter 9 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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