Q2 \Find the Fourier series for the following equation T-X F(x) - -y

Q: Find the Fourier Cosine series for f(x) = 9|x|, -T< x < T

A: Fourier cosine series :        f(x) = a02+∑n=1∞ancosnπxL  ; where a0=2L∫0Lf(x) dx ; an=2L∫0Lf(x)…

Q: Tt, B. Find the Fourier series for the f (x), if f(x) = {," - T < x < 0 0 < x < n %3D

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Q: The first derivative of the power series D (-1)" (2x)" is n! f(x) = n=0

A: Given : fx=∑n=0∞-1nn!2xn As    e-ax=∑n=0∞-1nn!axn∴e-2x=∑n=0∞-1nn!2xn Therefore, fx=e-2x   .....1

Q: Q5/ Find Fourier series of the Function: f(x) = x if (-n <x< n)

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Q: Find the Fourier series for the Function f(x) = 4- X2 ,When -2<X< 2

A: Period is 2-2=4. Fourier series will be: fx=ao+∑n=1∞ancosπnx2+bnsinπnx2

Q: The Fourier series for the funetion f(x)= 5x* -x+2, -T<x<T contains

A: f(x)=5x^2-x+2 is a even function

Q: · Find the Fourier series of, - 2< x< -1 f(x) = -1<x <1 (1 1< x< 2

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Q: Find the Fourier series of, - 2 < x< -1 f(x) = }-2 -1< x<1 1< x< 2

A: We have to find the Fourier series of the given function.

Q: Write Fourier series for the function y=4n-k T≥X≥0

A: A Fourier series is a sum that represents a periodic function as a sum of sine and cosine waves.…

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: Find the Fourier Series of : F(x) = nx for -n/2 sxS n/2 for 1/2 Sx s 3n/2

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Q: 4. Determine the Fourier sine series of f(x) = x +1 0<x<n

A: Ans4

Q: Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by if…

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Q: find the taylor series for sinx at x=0

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Q: Calculate the Fourier series for th following function 2. 3. 2.

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Q: Calculate the Fourier series for the function f(r) = 6(r –- 1) – 6(r+ 1) when -2 <aS2 and is…

A: The function is odd so there will be no constant and cosine terms.  The Fourier series will be:

Q: Find Fourier series for f (x) = x², - 2<x < 2

A: Fourier series

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

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Q: 4: Find the complex Fourier series for the function: f(x) = sinhx %3D

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Q: Determine the half-range Fourier cosine series to represent the function f(x) = 3x in the range 0…

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Q: Find the Fourier series for f(x) = x³. If you differentiate your series, do you re- cover the…

A: The given function is f(x)=x3 The formula for the Fourier series is given by…

Q: Show that the exponential form of the Fourier series for the waveform described by: O when -4 < x<0…

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Q: Find Fourier series for f (x) = 2x + 1

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Q: Find The Fourier series for the function defined by (x-2 0 <x<41 ° - x} = (x)/

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Q: Express the half-sine wave load F(t) = sin (2*pi*t) as the Fourier Series and draw a graph (N=10,…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: Express f(x) = n + x_for -<x<n as a Fourier series.

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Q: Find the Fourier series of the function if -4 <x< 0 f(x) S(x + 8) = f(x) %3D if 0 <x< 4

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Q: Find the half range sine series for f(x) = x( - x) in (0, 1).

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Q: Find the Fourier Series for the -1<x<0 f (x) = { x 0 < x <1 1 1<x< 3

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Q: 5. Find the Fourier sine series expansion of the funct. f(x) = x² + 5, 0 < x < T.

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Q: 8, Find Fourier series of the function in the Fig. • -2 (XS-1 -1<Xく 1くxく2 fo) -1 T=4 ー3 ー2 子 -2 スナ

A: Fourier series formula for any function: f(x)=ao+∑n=1∞(ancosnπxL+bnsinnπxL)

Q: Q4: A. Find The Fourier series for the function defined by 2k 1. ī(x) if 2kx Tl-x) if f(x) =- 2 1…

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Q: Find the Fourier series for the periodic function: if - 1<x<0 f(x) = {2 if 0<x< 1 f(x + 2) = f(x)

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Q: 4. Expend the given function in the Fourier series in the given interval [5x-1, -A <xs0 f(x)=.…

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Q: Find the Fourier series for the function

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Q: : Find the Fourier series for a periodic function of period 2n is defined as:

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: When a function is an even function, what term of the Fourier series will result 0?

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Q: If f(X)=1/2*(π-x), find the Fourier series of period 2π in the interval (0,2π)

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Q: Find the coefficient of the third term of the Fourier sine series of f(x) = x cos (5x) in the…

A: Given function is function is fx=xcos5x and interval is -π,π. We have to find the third term of the…

Q: 4. Find the Fourier series for the Function f(x) = |x| ,When -n< X<n.

A: The given function is: f(x)=|x| ;          -π≤x≤π Therefore: f(x)=-x            if  -π≤x&lt;0   xif…

Q: Open the 2π period f(x) = x3 function to the Fourier series in the range (-π, π).

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Q: Express f(x) = – x, as a Half Range Fourier sine series over the interval 0 <x < 1.

A: Given, fx=-x Find Half range Fourier sine series over the interval 0&lt;x&lt;1.

Q: 4. Express the f (x)=1+x function as a Fourier series in the interval of -T<x<T (Plesae check first…

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Q: Q4: A. Find The Fourier series for the function defined by 2k * (x) if 0 <x <; f (x) = 2kx Tl-x) if…

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Q: 3. [MO31] Find the Fourier series of, - 2< x< -1 f(x) = }-2 - 1<x< 1 1< x< 2

A: The given problem is to find the Fourier series of given function with given period.

Q: Find The Fourier series for the function defined by 0 <x<4 1 -4 sxS0 f(x) = {*0 sx - 2

A: Given Function, fx=x-2               0&lt;x≤40                 -4≤x≤0 The Fourier series is given…

Q: Determine the Fourier series for the function defined below: f(x) = 2x in the range x = 0 to x = 2pi…

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Q: Find the Fourier series for x2  in the interval 0 ≤ x ≤ π

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Q: Ex. (4) fx) = 1; (0<x<x) =0 (7<x< 27)

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