a. Express the function f(x) = x2 ,0

Q: - T < x < 0 0 < x < n' (-t, B. Find the Fourier series for the f (x), if f(x) = {,"

A:

Q: 4. Sketch several periods of the following function: f (x) 0,- pi<x<0;1,0<x<pi/2;0,pi/2<x<pi Expand…

A: Given the function is fx=0-π&lt;x&lt;010&lt;x&lt;π20π2&lt;x&lt;π

Q: 2. Determine the Fourier sine series of the following functions: (d) f (x) 0 < x < T, = COS X (e) ƒ…

A:

Q: Q4. Find the Fourier sine series for the function: f(x)= 0 for 0<x< 1/1 for 1/1/1<x<

A:

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

A: We have to solve given problem:

Q: Q4: Find The Fourier series for the function defined by f(x) = { x -n < x < 0 0 < x <T

A:

Q: Compute the Fourier sine series for the given function f. a) f(x) = x², 0<x< π

A:

Q: f(x) = x + 1 0<xくT

A:

Q: Expand f(x) =5xas a half-range Fourier sine series in the range 0 < x<T, and sketch the function…

A: See the attachment

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

A:

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

A:

Q: 2. Find the sine series of Sx, 0 <x< T/2 /2 < x < ™ f(x) = TT – x,

A: We will find out the required value.

Q: 1. (i) Give the Fourier sine series expansion of f(t) = cos(t) on the interval 0 < t < a.

A:

Q: Find the Fourier Sine series of the function f(x) = cos(x) for x e [0, T]

A: Given : f(x) = cos (x)  for x€[0,π]

Q: Q1: Find Fourier series of the following function: *<x < 0 0 < x < I< x < -1 2 f(x) = { 1 2 2

A:

Q: 5. Find the Fourier Series of the function: S0, -7< xr <0 (1, f(x) 0<x< T

A: Recall this

Q: Q1: Find the Fourier series for the following periodic function. -A<x<0 f(x)={ エーx 0<x<A

A:

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

A: Ans4

Q: Obtain the sine Fourier series of g(x)=Dx(T-x), 0<x<n using the cosine Fourier series of function…

A: Given function is gx=xπ−x, 0&lt;x&lt;π. We have to find the Fourier sine series of gx=xπ−x,…

Q: 2. Find the sine series of Sx, 0 <x < T/2 T/2<x< T f(x) = TT - X, - x,

A:

Q: Find the Fourier series approximation of the following functions: f(x) = } S-x,(-1<x < 0) x, (0 < x…

A: Given function: fx=-x-1&lt;x&lt;0x0&lt;x&lt;1 Fourier series is given by…

Q: Q11. Find Fourier Series of the function f (x) = COs x , -T < x < T

A:

Q: Q1/Find the Fourier series of the Function x , 0≤x≤2 .f(x) = :{ 0, 2≤x≤4

A: Given function is fx=x,  0≤x≤20,  2≤x≤4. We have to find the Fourier series of the function fx. The…

Q: (12) The coefficients (a, ) of the Fourier series of the function f(x)= x;-7<x<a, is

A:

Q: Find the coefficient of the term " sin 2t" in the Fourier series of the function f (t) = t sin t for…

A: We have to solve given problem:

Q: ーt ーTくt<0, f(t) = +t 0 <t< n.

A:

Q: Q1-A) Determine the half range Fourier Sine Series for the function f(t) = sin t ost2

A:

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

A: Given: To find the Fourier series of the function  is given as,

Q: 5. Find the Fourier Series of the function: S0, -7 <x <0 f(x) 1, 0 <x< T

A:

Q: Find the coefficient of the term " sin 2t" in the Fourier series of the function f (t) =t sin? t for…

A: ft=tsin2t     =t2×2sin2t     =t2×2sin2t-1+1     =t2×1-cos2t

Q: Q1: Find Fourier series of the following function: I< x < 0 2 f(x) = 0 < x < 2 2

A: The given problem is to find the Fourier series of given following function, we have to find the…

Q: (0, f(x) = 1, JO, -Tくx<0 0Sx< T

A: Fourier series expansion:

Q: Q11. Find Fourier Series of the function f(x) : = Cos x, -T < x <1

A:

Q: Q1/ Find the Fourier series for the Function f(x) = 4 – X² ,When – 2 <X< 2

A:

Q: B. Find the Fourier series of the periodic function f(x) = sin(x) 0<x<T

A:

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

A: We need to find Fourier sine series.

Q: Q4: Find a Fourier series of the function. F(x) = 1 - 3 x² in the interval - A<X<T

A:

Q: Answer the following questions Find the Fourier series for the periodic function f(x) = x sin x,…

A:

Q: Q#10: Develop f (x) in the Fourier series, if defined as: (i) : f (x)= 3x cos 2x, – a <x <n. (-2x,…

A:

Q: 2. Find the sine series of Sx, 0 <x < T/2 f(x) п - х, T/2 < x < T

A:

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

A: The given problem is to find the Fourier sine series of given half range periodic function. Given…

Q: 1. Find the Fourier Series of the function: S0, -Ħ< x < 0 f(x) (1, 0 <x< T

A:

Q: Q1-A) Determine the half range Fourier Sine Series for the function f(t) = sin t Ost2

A: Half range Fourier sine seriese

Q: Find the Fourier series of the given function f(x) 2 f(x) = x2 (-T < x < T)

A: Fourier series for f(x)=x2, -π&lt;x&lt;π is given by f(x)=a02+∑n=1∞ancosnx+bnsinnx…

Q: …) Find the half-range sine series for the function f(t) = πt - t², in the interval 0<t<π.

A:

Q: Find the Fourier series for the function defined by f(x) = T, 2 f(x) = 0, -<x< T. 2

A: Given a function          fx=π,    -π≤x≤π20,      π2≤x≤π Find the Fourier series of f(x).