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![You are given that the function
if
f - 7<t<0
f(t) = 〈だ
if 0 <t< T
f(t+2n) for all t
has the complex Fourier series
(-1)"(in?n? + 2nn
21) + 2i
int
2T
72
What is the real Fourier series of this function?
[(2
n²n²)(-1)"-2] cos(nt) 2n7(-1)" sin(nt)
1
6.
[(2 n²)(-1)"
2 cos(nt) +2na 1) sin(nt)
2nT(-1)" cos(nt) + [(2 n2r)((-1)" 2 sin(nt)
4n (
1)" cos(nt)
3
27
None of these.
+.
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- Find the red letters value.Determine the Complex Fourier Series for the function defined byIf f is the Fourier series of g(x) = = f(x) = 32(-1)"+1 n²-² [16-r², What does f(-4) equal? f(-4) What does f(-2) equal? f(-2)= What does f(0) equal? f(0) n² What does f(1) equal? f(1) What does f(4) equal? ƒ(4) FIT 4 -4< <0 0Urgent urgent pleaseplease send solution like the graph I attached= 1) The function f(x) periodic on the interval [0, 2л] has complex Fourier series f(x): Σ(1/n²) einx where the sum over n goes from - infinity to infinity. Convert this to cosine and sine Fourier Series by finding the values of A's and B's in the expression Ao + ΣAn cos(nx) + Σ Bn sin(nx) where each sum goes from 1 to infinity. Hint: consider the n and -n term together in the complex Fourier Series or use Euler's identity.+3 - nFind odd and even function (half range) Fourier series of function below f (x) : 0sx<1 |1If f is the Fourier series of g(x)= √3, [16-², -4 < x < 0 then 0≤ < 4 f(2)=¯ + 2 [(0) cos (1 x) + ( ) sin (7-²)] 2 What does f(-4) equal? f(-4) What does f(-2) equal? f(-2) = What does f(0) equal? What does f(1) equal? What does f(4) equal? (0) f(1) = ƒ(4) = *Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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