Q4.3 Expand the following function in a 8 f(x) = - 3 < x < -1 −1≤x < 1 1≤x≤ 3 28 then use the following notation to answer the questions. the fourier series for f(x), 00 п f(x) = 2² + Σ (an cos h ह P n=1 is of the form cosine series, ηπ x + bn sin nπ x ) 8 f(x) = (₁+ & (9₁(n,x) + 9₂ (n₁ x)) n=1 a) find the value of Co. (your answer should be symbolic c-no decimal points) b) Find the function g₁Ch, x) (your answer should be a symbolic function of x and r
Q4.3 Expand the following function in a 8 f(x) = - 3 < x < -1 −1≤x < 1 1≤x≤ 3 28 then use the following notation to answer the questions. the fourier series for f(x), 00 п f(x) = 2² + Σ (an cos h ह P n=1 is of the form cosine series, ηπ x + bn sin nπ x ) 8 f(x) = (₁+ & (9₁(n,x) + 9₂ (n₁ x)) n=1 a) find the value of Co. (your answer should be symbolic c-no decimal points) b) Find the function g₁Ch, x) (your answer should be a symbolic function of x and r
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q4.3
Expand the following
8
f(x) =
∞∞
2
8
ao
f(x) = 20⁰0
following function in a cosine series,
then use the following notation to answer the questions.
the fourier series for f(x),
+
3 < x < -1
-1 ≤ x < 1
1<x< 3
8
is of the form
n=1
(an cos
ип
P
x + bn sin
0
f(x)= (₁+ ≤ (9₁(n,x) + 9₂ (n₁ x))
n=1
п
HTTx)
P
a) find the value of Co. (your answer should be symbolic - no decimal points)
b) Find the function g₁(n,x) (your answer should be a symbolic function of x and in
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