Using Linear Approximation, estimate & for a change in x from x-ax=& f(x)=x, a=32, b=32.4 Comider the work to estimate Af =-0.00500 Af = '(a) Ax=(-0.4)=- Identify the first error in the estimate of A/. The change in x should be Ax=0.4. The derivative off should be The value of f'(a) should be '(a) = 3.2. The derivative off should be x The value of f'(a) should be /'(a) -3.2. Using Linear Approximation, estimate Af. (Use decimal notation. Give your answer to live decimal places.) A/ Al Use a calculator to compute the error in the Linear Approximation. (Use decimal notation. Give your answer to live decimal places.) OFFOR A
Using Linear Approximation, estimate & for a change in x from x-ax=& f(x)=x, a=32, b=32.4 Comider the work to estimate Af =-0.00500 Af = '(a) Ax=(-0.4)=- Identify the first error in the estimate of A/. The change in x should be Ax=0.4. The derivative off should be The value of f'(a) should be '(a) = 3.2. The derivative off should be x The value of f'(a) should be /'(a) -3.2. Using Linear Approximation, estimate Af. (Use decimal notation. Give your answer to live decimal places.) A/ Al Use a calculator to compute the error in the Linear Approximation. (Use decimal notation. Give your answer to live decimal places.) OFFOR A
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question

Transcribed Image Text:Using Linear Approximation, estimate A/ for a change in x from x=atox=
f(x)=x, a=32, b = 32.4
Consider the work to estimate Af.
(a)=-32-
Af % f'(a) Ax=
(04)=
(-0.4)=-0.00500
Identify the first error in the estimate of Af.
The change in x should be Ax = 0.4.
The derivative off should be
The value of f'(a) should be '(a) = 3.2.
The derivative off should be x
The value of f'(a) should be f'(a) = -3.2
Using Linear Approximation, estimate Af.
(Use decimal notation. Give your answer to five decimal places.)
Af Rs
Use a calculator to compute the error in the Linear Approximation.
(Use decimal notation. Give your answer to live decimal places.)
CITOR A
Expert Solution

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 4 steps with 11 images

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning