5. Is the given function even or odd or neither even nor odd? Find its Fourier series be if p = 1. f(x) = x|x|

Q: Q11. Find Fourier Series of the function f(x) = cos x , -T < x < T %3D

A: We have to solve given problem:

Q: f (x) AN X

A: The given problem is to find the Fourier series expansion from the given graph of the following…

Q: 5. Determine the half range Fourier cosine series for -{- f(x)= 7-X

A:

Q: Express the odd function f(x) (period = 2 with value 1/2 pi (1-x) for 0 <x<2) as a fourier series.…

A: Given: fx=12π1-x is an odd function for 0&lt;x&lt;2 with period 2. When a periodic function is an…

Q: Expand the function f(x) = x sinx, as a Fourier series in the interval - < x < π.

A: Given function is  for                    here               therefore f(x) is an even…

Q: Q2. Find the Fourier series for the function f(x) = |x-x² for −1 < x < x<π]

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Q: Q2: Find the Fourier series expansion of the function f(x) = xsinx for < x < 2n.

A: Given fx=xsinx We know fx=a02+∑n=1∞ancosnx+bnsinnx

Q: f(x) = cosh(x); -T <x< T etch the function. Determine whether it is even or odd. Expand it in an…

A: Expand the given function in an appropriate Fourier series.

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,…

A:

Q: Q.5 Write down the Fourier series for the following function. fx = 0 if -n<x< 0 fx = -1 if 0 <x <…

A: Please note that value of f(x) is -1 for 0 to π.

Q: Q.1/Find the fourier series for the following function: St-n ,0<t<n ,T<t< 2n f(t) %3D

A: The Fourier series of given function is given as follows

Q: - 1< x < 0 0 < x < 1' (e* 3. Find the Fourier series of f(x) = {". f(x) = f(x + 2).

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Q: Find the fourier series to represent the function f(x) sinx,-n<x<л

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Q: 2.r if 0 if rl<x

A:

Q: 3 1. Find the Fourier series on -≤x≤ for f(x) = sin ³ x, which is an odd function.

A:

Q: Q2. Obtain the Fourier series for the function given in the diagram below f(x) 2 20 0 2T 3T X -2

A:

Q: Q6. Find the Fourier series of the periodic function f(x) = {-²₁1 0<x<T -π < x < 0

A: We have to find the Fourier series of the periodic function

Q: f(x) = sin (2x)| -T≤x≤0 0<x<*

A:

Q: 6. show that the complex Fourier series of the function; f.(t) = t. ostsil is : jant f (t)... + + +…

A:

Q: 6. Write the Fourier Sine series for f(x) =R - x (0<x<7). sin nx Ans. 2

A: To find the fourier sine series of the given function f(x) = π-x in half range 0 to π we use the…

Q: Q4: A. Find The Fourier series for the function defined by 2k - (x) if 0 < x <: f(x) = 2kx (1 – x)…

A: Given f(x) =      2kl(x)       if 0≤xl22kxl(l-x)     if l2≤x≤lwe have to find the fourier series for…

Q: 31. f(x) = {X, 0<x<1 ti, 1<x<2

A:

Q: Q.3. Find the Fourier series for the function -1, if – n<x <- 0, if -<xs. 1, if플<xSn 2 f(x) = 2…

A: The given problem is to find the Fourier series expansion of the given periodic function with given…

Q: 20. Let f be a continuous function with a period 27, and ao +(an cos nx + bn sin nx) 2 its Fourier…

A: Integral Representation of The constant term  in the fourier series represents the average value of…

Q: Expand the function f(x) = X, if 0 < x < 3 6x, if 3 < x < 6 in a half-range (a) sine series; and (b)…

A: Given that  fx=xif 0&lt;x&lt;36-xif 3≤x&lt;6   (a)  The half range Fourier Sine series of f(x) is…