At x=1, the Fourier series of f(x)=2exp(3x), on -1 < x <1 converges to: Note: exp(A) = eA OA. 3sinh (2) O B. 2sinh(3) O C.5 OD.3cosh(2) ⒸE. 2cosh(3)

Q: Ex. (3) f(x)=xcos.x, < 28)

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Q: xample 1: Find the fourier series representing, f(x)=x, 0<x<2n and sketch its graph from x=-47 to…

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Q: 5. Consider the following function : x 0 (a) Calculate the Fourier series (both sines and cosines)…

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Q: Determine the half range Fourier Sine Series for the function f(t) = sin t Ost2

A: See the attachment

Q: Q1) Find the Fourier series of the function: -1<x<0 f(x) = %3D 0 <x<1

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Q: Q1: Expand in a sine-Fourier series: f(x)=x,0 < x < 1.

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Q: Q4: Consider the function L(a) as an even function and expand it using an appropriate Fourier…

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Q: Q3) Find Fourier series of the periodic (T = 2n) function f (x) = x² ,- I < x < t

A: 3)Given function is f(x)=x2, -π&lt;x&lt;πwe know that fourier series of f(x) isf(x)=a02+∑n=1∞an cos…

Q: B/ Find the Fourier series of the function f (X) = x +n within the range -n < x < n

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Q: Q2: Expand f(x) in a sine-cosine Fourier series TT 20, f(x) = { -<x< '4' π ¹4, 1<x<T. 4

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Q: Q4. Find the Fourier series for f(x)= A – x _in the interval (0, 27). Deduce that 111

A: Let fx=π-x To find the Fourier series for fx in the interval 0,2π and further deduce…

Q: q18. Let f be a function with a period 2π such that f(x) = −1 if 0 < x < π, f(x) = 1 if π < x < 2π,…

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Q: You are given that the Fourier series for the function f(x) on the interval (-TT, T) is 1 ao an cos…

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Q: f(x) = n² – x² 0<xくT

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Q: let S(x) be its Fourier series. use Dirichlet’s theorem, Find values of S(0),S(1),S(−2), and S(2)?

A: conditions for existence of fourier series i.e., dirichlet conditions 1.signal should have finite…

Q: 2.r if 0 if rl<x

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Q: 5. Is the given function even or odd or neither even nor odd? Find its Fourier series be if p = 1.…

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Q: 04-Obtain the Fourier series of the function : f (x) = x,(-II < x < II)

A: Given function:fx=x,-π&lt;x&lt;πwe have fourier series function…

Q: 22/Find the Fourier series for the following function? (SM) r)=x for

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Q: By computing the Fourier series of f(x) = x², show that n=1 1 n4 == 90°

A: Let's start by defining the function f(x)=x2 on the interval -π&lt;x&lt;π. The Fourier series of a…

Q: a) Find the Fourier series of function, f(x) given below: 0₂ for -≤x≤0 x²; for 0≤x≤ which is assumed…

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Q: Find the Fourier cosine series

A: Fourier cosine series

Q: use fourier series to solve

A: We can solve this using formula of Fourier series

Q: Calculate the Fourier series of the function f(x) = x on the interval [−2,2].

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Q: 6.Find half-range Fourier cosine series for f(x)=x in (0<x<2π)

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Q: Hf(x) x; coefficient b, in this Fourier series is: f(x+4) f(x), the a. 2 (-1)" COS (пп)2 b. (-1)"…

A: Fourier coefficient

Q: 1. Find the Fourier Series of the function: (0, ´0, -T < x < 0 f(x) 0 <x< T

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Q: Σ 4 NITX (пл)з (1- сos(пп)) sin. L f(x) = n=1 8

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Q: Find the Fourier series of the function f(x) = 2L – on the interval [-L, L].

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Q: Q2. Find the Fourier series for the function f(x) = ›>-6 for for 0<x<π π < x < 2π

A: Sol