Find the Taylor series generated by f at x = a. f(x) = 6X, a = 2

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: Taylor series is Co = C1 C₁ = Sex with n=0

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Q: Find the Taylor series generated by f at x= a f(x) =x - 2x+3, a = 5

A: To find- Taylor series of the given function.

Q: FIND THE MACLAURIN/TAYLOR SERIES OF f (x) = 2x¬² in powers of (x – 1).

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Q: Find the real form of the Fourier series for the function f(x) =- \x| in (-1, 1) and then obtain…

A: Fourier series of a function f(x) in the interval -L≤x≤L is defined as  f(x)=A0+∑n=1∞An cosnπxL+Bn…

Q: F(x)=イー2 2.

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Q: Find the Fourier series to represent a function of f(x) = x3 in the interval of (0, c).

A: Consider the general Fourier series for a function f(x) with a period of T given by…

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

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Q: 2. (a) Find the Fourier series for the function f(t) = t² on the interval [-7, 7].

A: Given the function  ft=t2, -π,π

Q: Find the Fourier cosine series

A: Fourier cosine series

Q: Determine the Fourier series

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Q: Q7// Determine the Fourier series for the functionshown.

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Q: Find the Taylor series of the function at the given value of a. } 1 a. f(x) = (5e)²x, a=

A: According to question,fx = 5e2x,a = 12

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

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Q: Find the Fourier series to represent f(x) = x/2 (0 < x <2pi.)

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Q: Determine the Fourier series for the function f (x) = x² in the 0 to 2 t.

A: Use the formula of Fourier series and then find the required coefficients to get exact Fourier…

Q: Find the Fourier series of: f(x) = xsenx, −1 < x < 1

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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: 3. Find the Fourier series coefficients for the following function -n<I< 0 f(x) =

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