E Find the Fourier series to represent a function of a.) f(x) = x + 1, - 2 < x < 0, = 1, 0 < x <2 in the interval (-2,2). b.) f(x) = cos = COS in the interval of (-, T).

Q: 10 f(x) - 31

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Q: - n <x <0 Let f(x) = {;", If a, = 0 Find the Fourier series of f(x) A) F, =+E-1 [1-(-1)"] sin(nx) +…

A: Ans : option (A) correct

Q: s(nx) < 2n

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Q: serves conv 1, then its a

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Q: 2--solve the Fourier series for the function f(x) = 3- x ,and -n < x < T. A:f (s) =+E-1 4(-1)"Tsin…

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Q: Find the fourier sine series in f(x) = pi/3 if 0<x<pi/3, 0 if pi/3<x<2pi/3, -pi/3 if 2pi/3<x<pi and…

A: To determine the Fourier sine series of the below function. fx=π3      if 0&lt;x&lt;π30         if…

Q: t is the fourier series of f(x)=x^3+2 at (-L, L)

A: We have to find the fourier series of fx=x3+2 at -L,L

Q: The Fourier series of the function is given by f(x) ~ co- where CO = Cn = and f(x) = bn. = = =0 n=…

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Q: The Fourier sine series of the function f(x) = x³ on the interval [0, π] is The solution of the…

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Q: Given f (x)=x^2 ,0<x<pi, find even periodic extension of f (x) , write down its Fourier Cosine…

A: The given function is fx=x2, 0&lt;x&lt;π

Q: What is the fourier series of the piecewise: f(x) = { x^3+2, -L ≤ x ≤ L             f(x+2L), other…

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Q: Obtain the Fourier series for f(x) in -π<x<π with period where f(x) = -1+x for -π<x<0 and f(x) 1+x…

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Q: Consider the function f(x) = x² + 3x + 1 defined in the interval [-2, 2] and extend it as a periodic…

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Q: Find the Fourier series to represent a function of f(X)=x^3 in the interval of (0, c).

A: Given function is fx=x3 and interval is 0,c We have to find the Fourier series to represent a…

Q: f(x) = cos(T.x)+ sin(27x).

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Q: What is the fourier series of f(x) = x^2 with (0, 2L)?

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Q: what is the fourier series of f(t)=e^abs(t) -pi<t<pi

A: The function f(x) in trigonometric Fourier series on interval [ - k, k] has the form: Fourier series…

Q: The Fourier coefficients of the f(x) and g(x) functions that can be expanded into the Fourier series…

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Q: solve for the Fourier series f(x)=x^2 in (-1,1)

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Q: Find the Fourier series

A: Given,          f(x)=1if -π≤x&lt;0-1if 0≤x&lt;π

Q: Q2) Compute trigonometric Fourier series coefficients of following 2-periodic signal defined on the…

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Q: Write the Fourier series of the function f (x) and calculate f (10) by taking the first three terms…

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Q: 5) S(x)=sin(7x) 0<x<l Ans. cos(27 x) + cos(4 x) +.. (3)(5)

A: Solution

Q: 2L (1-сos(nn)) ппх f(x) sin dx = (пп)з (1-сos(nп)) Σ 4 f(x) = -(1 -cos(пп)) sin (пл)3 L n=1 8

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Q: Write the Fourier series representation of the periodic * function f (t) if in one period f(1) A…

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Q: Q1 finel fourier series F(x) = 2-

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Q: Q7. Find the Fourier series of the signal f(t), with period 27, given on the interval [-, π] by…

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Q: Find Fourier sine series of f(x) = 3x² on − L ≤x≤L

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Q: a) Find Fourier Transform f (x) = |x| > B and Evaluate Sin[2B]Cos[2x] da -8-

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Q: Calculate the Fourier series of function f(x)=x^2 -L<x<L using the Fourier series of function…

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Q: 5 If f(x) is gen then use Fourier series to prove that b, =0

A: We have f(x) is even .

Q: Consider the 27-periodic function f(x) defined on [-, π] by the formula f(x) = cos(). (a) Find the…

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Q: For the given periodic function, (0 S(x) =} nx 4 %3D The coefficient a, of the continuous Fourier…

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