2. Let f(x) be a function of period 27 such that f(r) = over the interval 0 < x < 2n. 2 a) Sketch a graph of f(x) in the interval 0 < x < 4n b) Show that the Fourier series for f(x) in the interval 0 < x < 2ñ is 1 sin x +, sin 2x + , sin 3x + 2 | c) By giving an appropriate value to x, show that 1 1 1 1 1 %D 4 5
2. Let f(x) be a function of period 27 such that f(r) = over the interval 0 < x < 2n. 2 a) Sketch a graph of f(x) in the interval 0 < x < 4n b) Show that the Fourier series for f(x) in the interval 0 < x < 2ñ is 1 sin x +, sin 2x + , sin 3x + 2 | c) By giving an appropriate value to x, show that 1 1 1 1 1 %D 4 5
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...
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Question
FOURIER SERIES.
![2.
Let f(x) be a function of period 27 such that
f(x) = 2
over the interval 0 < x < 2n.
a) Sketch a graph of f(x) in the interval 0 < x < 4m
b) Show that the Fourier series for f(x) in the interval 0 < x < 2ñ is
1
sin x + sin 2x + sin 3x +
2
c) By giving an appropriate value to x, show that
1
1
1
3
1
+
7
-
|
4
9.
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34544255-7665-4580-a7c0-56e5419fd3db%2F37056e6b-4925-40f2-8138-677fe73563db%2Fcqnz9px_processed.png&w=3840&q=75)
Transcribed Image Text:2.
Let f(x) be a function of period 27 such that
f(x) = 2
over the interval 0 < x < 2n.
a) Sketch a graph of f(x) in the interval 0 < x < 4m
b) Show that the Fourier series for f(x) in the interval 0 < x < 2ñ is
1
sin x + sin 2x + sin 3x +
2
c) By giving an appropriate value to x, show that
1
1
1
3
1
+
7
-
|
4
9.
+
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