Given the function below -100x³ + 225 Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form. L(x) = f(x) Use the tangent line to approximate f(1.1). L(1.1) = = Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. error] ≈ (Approximate to at least 5 decimal places.)
Given the function below -100x³ + 225 Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form. L(x) = f(x) Use the tangent line to approximate f(1.1). L(1.1) = = Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. error] ≈ (Approximate to at least 5 decimal places.)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 9SC
Related questions
Question
![Given the function below
f(x) = −100x³ + 225
Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form.
L(x) =
Use the tangent line to approximate ƒ(1.1).
L(1.1) =
Compute the actual value of f(1.1). What is the error between the function value and the linear
approximation?
Answer as a positive value only.
Terror
(Approximate to at least 5 decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0ccea95-2f44-4872-925d-2c7d125e9737%2F1940eb2b-de3f-4a51-a966-6bc6956fb33c%2Fdt8o6yi_processed.png&w=3840&q=75)
Transcribed Image Text:Given the function below
f(x) = −100x³ + 225
Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form.
L(x) =
Use the tangent line to approximate ƒ(1.1).
L(1.1) =
Compute the actual value of f(1.1). What is the error between the function value and the linear
approximation?
Answer as a positive value only.
Terror
(Approximate to at least 5 decimal places.)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![Algebra and Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning