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: Find the Fourier serie

A: We have given function f(x)=(sinπxL) on interval [-L,L]. We need to calculate Fourier series of the…

Q: Express f(x) as a Fourier series in the inerval 4 %3D 12 - T<x<T

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Q: Write the double Fourier series if f(x, y) = x²y², -<x<n, -n<y<m

A: We are given the following function.         f(x, y)=x2y2,  -π&lt;x&lt;π, -π&lt;y&lt;π Now, we need…

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

A: See the attachment

Q: Express f(x) =x as a Fourier series in (–1,7

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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: The record showed that the number of students’ enrolment in a college is increasing by 5% per year.…

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Q: Determine the solution of the following differential equations: 3. (D5 − D3)y = 0

A: equation is (D5 − D3)y = 0 we first need to find the roots of the associated auxiliary equation then…

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: 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: 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 ≤ x ≤ π. The Fourier series of a…

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: 5. Find the Fourier series representation of the function o(x) = et on the interval [-1,1].

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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: Say that the function f(x) is x for -π < x < 0 and zero for 0 < x < π. Find the a0 coefficient for…

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

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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: pand f(x) =5x as a half-range Fourier sine series in the range 0 < x <A , and sketch the function…

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