2. Let f(x) = sin(D + 1)x sin(4 – D)x . (i) By the help of the third order Maclaurin polynomial of f calculate the approximative value of the integral " f(x) dx . Estimate c0,5 the error. (ii) Calculate the exact value of the previous integral. (iii) Find the limits lim f(x)-ax? ,a = 4,6 . x4 2+(5+1)+6+(4+2)=20%

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...
icon
Related questions
Question
2. Let f(x) = sin(D + 1)x sin(4 – D)x . (i) By the help of
the third order Maclaurin polynomial of f calculate the
approximative value of the integral " f(x) dx . Estimate
c0,5
the error. (ii) Calculate the exact value of the previous
integral. (iii) Find the limits lim f(x)-ax?
,a = 4,6 .
x4
2+(5+1)+6+(4+2)=20%
Transcribed Image Text:2. Let f(x) = sin(D + 1)x sin(4 – D)x . (i) By the help of the third order Maclaurin polynomial of f calculate the approximative value of the integral " f(x) dx . Estimate c0,5 the error. (ii) Calculate the exact value of the previous integral. (iii) Find the limits lim f(x)-ax? ,a = 4,6 . x4 2+(5+1)+6+(4+2)=20%
Expert Solution
steps

Step by step

Solved in 4 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