Expand the following function in f(x)=7x²+4x 0 use the following notation to answer the questions. the fourier series for f(x), hen f(x)= ao 2 + 8 Σ can cos n=1 VIT P a s of the form _f(x)= (₂+ & (9₁(h₂x) + 9₂ (n, x)) n=1 Fourier series. x + bn sin hπ x ) _) Find the function g₁ (h, x) (your answer should be a symbolic function of x and n)
Expand the following function in f(x)=7x²+4x 0 use the following notation to answer the questions. the fourier series for f(x), hen f(x)= ao 2 + 8 Σ can cos n=1 VIT P a s of the form _f(x)= (₂+ & (9₁(h₂x) + 9₂ (n, x)) n=1 Fourier series. x + bn sin hπ x ) _) Find the function g₁ (h, x) (your answer should be a symbolic function of x and n)
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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Question
Transcribed Image Text:Q5S
Expand the following function in
f(x)=7x²+4x
0<x< 6
then use the following notation to answer the questions.
the fourier series for f(x),
f(x)=
ao
2
8
n=1
is of the form
can cos
VTT
P
x + bn sin
8
f(x)= (₁+ Σ (9₁(h, x) + 9₂ (h, x))
n=1
Fourier series.
a
x
a) Find the function g₁ Ch, x) (your answer should be a symbolic function of
x and n
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