(a)
The linearization approximation for the value of x=0.
(a)
Answer to Problem 27E
The value is L(x) =0.
Explanation of Solution
Given information:
The given function is
Formula used:
Differentiation method is used.
Calculation:
Differentiating
Therefore,
Conclusion:
The value is L(x)=0.
(b)
The quadratic approximation for the value of x=0.
(b)
Answer to Problem 27E
The value is
Explanation of Solution
Given information:
The given function is
Formula used:
Differentiation method is used.
Calculation:
Differentiating
Therefore,
Quadratic approximation of a function is a second order series of a function
Conclusion:
The value is
(c)
To sketch: The graph of the function using
(c)
Answer to Problem 27E
The graph of the function near x = 0.
Explanation of Solution
Given information:
The given function is
Formula used:
The linear and the quadratic approximationis used.
Calculation:
As from the graph the linear and the quadratic approximation fit the graph of the function near x = 0.
Conclusion:
The graph of the function near x = 0.
Chapter 10 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculus & Its Applications (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Precalculus
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
- 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