4. Consider the following function: -I – 2, -2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 71RE
icon
Related questions
Question
I want answer for Q 4
4. Consider the following function:
-I – 2, –2 < x < -1
f(x) %3D 〈프,
|-1<r<1
2 r,
1< «< 2.
(i) Sketch the graph of f and find its Fourier series on [-2, 2].
(ii) Use the obtained series to deduce that:
and
(2k 1)2
(2k – 1)
96
A-1
A=1
Transcribed Image Text:4. Consider the following function: -I – 2, –2 < x < -1 f(x) %3D 〈프, |-1<r<1 2 r, 1< «< 2. (i) Sketch the graph of f and find its Fourier series on [-2, 2]. (ii) Use the obtained series to deduce that: and (2k 1)2 (2k – 1) 96 A-1 A=1
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning