Use linear approximation, i.e. the tangent line, to approximate 8.3 as follows: Let f(x)=x. The equation of the tangent line to f(x) at x = 8 can be written in the form y=mx + b where m, rounded to 6 decimal places, is: 0.062500 and where b, rounded to 6 decimal places, is: Using this, we find our approximation for V8.3 rounded to 6 decimal places is

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...
Question
Use linear approximation, i.e. the tangent line, to approximate 8.3 as follows:
Let f(x)=x. The equation of the tangent line to f(x) at x = 8 can be written in the form
y = mx +b
where m, rounded to 6 decimal places, is: 0.062500
and where b, rounded to 6 decimal places, is:
X
Using this, we find our approxination for 8.3 rounded to 6 decimal places is
Transcribed Image Text:Use linear approximation, i.e. the tangent line, to approximate 8.3 as follows: Let f(x)=x. The equation of the tangent line to f(x) at x = 8 can be written in the form y = mx +b where m, rounded to 6 decimal places, is: 0.062500 and where b, rounded to 6 decimal places, is: X Using this, we find our approxination for 8.3 rounded to 6 decimal places is
Let y = 3x².
Find the change in y, i.e., Ay, when x = 4 and Ax = 0.2 17.28
Find the differential dy when a = 4 and dx = 0.2 3.6
X
X
Transcribed Image Text:Let y = 3x². Find the change in y, i.e., Ay, when x = 4 and Ax = 0.2 17.28 Find the differential dy when a = 4 and dx = 0.2 3.6 X X
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
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: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning