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

Q: Q2/ Find the Fourier series to represent the function f(x) given by: -1 for f(x) = 0 for +1 for…

A:

Q: Q1: Find Fourier series for f(x) = x,-<x<

A:

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

A:

Q: (b) Find the Fourier Series for the function as following f(x) = { 1 0<x<3 -1 on [-3,3]

A:

Q: Q2: Find the Fourier sine series for the following periodic function. f(x) =x - T<x<7

A: The given function f(x) is odd function, ie. f(-x)=-f(x).

Q: Q4 find the Fourier series for the following periodic function. (-2x f(t) = { 2x 0 <x < 3 -3 <x < 0

A:

Q: e) Calculate Fourier series of f(x) = x²₁ -π < x < ₁ p = 2π.

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: Q2/ Analyze the functions below using the fourier series: ーTくx<0 0, f(x) = {ェーX, TT - X, 0s x< T

A: Let us consider the function f(x) in the interval [-L,L] The Fourier series of the function  is…

Q: 21 Date... w******** Q. Find the Fourier Series od (x) = X -즐 <x<플

A:

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

A:

Q: Q#02: Obtain the Fourier series for the function: (x+1 if -n<x < 0, f (x) = 2.x if 0<x< T.

A: Given function To determine the Fourier series Where,

Q: 1. Consider the function f defined by f (x) =| sin x |, for - T < x < T. a) Find the Fourier series…

A:

Q: Q1) Find the Fourier series of the function: -1<x<0 f(x) = %3D 0 <x<1

A:

Q: Q2: Find the Fourier series of the function. = { } for n>t >0 for 2n >t > TI 2 f(t) = -2 }

A:

Q: Q3) Find Fourier series of the periodic (T = 2n) function f (x) = x² ,- I < x < t

A: 3)Given function is f(x)=x2, -π&lt;x&lt;πwe know that fourier series of f(x) isf(x)=a02+∑n=1∞an cos…

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: Q4/ A: Find Fourier Series of the Function: f(x) = {-K -TAX<O 0 <x<*

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: Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by (E+ x,…

A:

Q: For the given periodic function, S(x) = nx %3D The coefficient b, of the continuous Fourier series…

A: Given information: The function is f(x)=0         -π≤x≤0πx4        0≤x≤π. Calculation: We know, The…

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

A:

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

A: To find the Fourier series of the given Function, first we find the Fourier coefficients, then we…

Q: Q2: Find the Fourier series of the function. for π >t >0 for 2π >t>π 2 F(e) = { _3 } -2

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 z, -A <I<T

A:

Q: Q: Find the Fourier series of the function in the defined period: y = |3 – x| ,-4 > x < 4

A: Given function is y=f(x)=|3-x|, -4≤x≤4 The Fourier series of the function f(x) in interval -L≤x≤L is…

Q: (c) (i) Find a Fourier series representation of the function given by f (x) = x² for -T < x < T,…

A:

Q: Q2 Find Fourier series of the function for n>t > 0 for 2n >t > T 2 F() = { } f(t) %3D -2

A:

Q: Q2/ Find the Fourier series to represent the function f(x) given by: -1 for 0-1 f(x) = 0 for +1 for…

A:

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

A:

Q: Q2/Find the Fourier series for the following periodic functions. --n/2<x<n/2 1) Sx) Ans. cos(x) -…

A:

Q: Q3/ Find the Fourier series for the following periodic function defined in one period; 1() = f(t) =…

A:

Q: Q4-Find the sine Fourier series for (periodic extension of) t-1 ,0<t< 2| 13-t 2<t<41 f(t) =

A:

Q: Q3. Given the following periodic function, find its Fourier series. f(x) = {3x -2n < x < 2n.

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: 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: Q2/ Find the Fourier series to represent the function f(x) given by: -1 for f(x) = 0 +1 for for TL…

A:

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

A:

Q: For the given periodic function, S(x) = nx 4 The coefficient a, of the continuous Fourier series…

A: Given: The periodic function f(x) = 0    ,      -π≤ x≤ 0πx4  ,     0 ≤x≤π To determine: The…

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

A:

Q: Q3: find the Fourier series of half rang periodic function. f(x) = x - x² 0 <x< 1

A: Image is attached with detailed solution.

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

A:

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

A: We have to find the Fourier coefficients and Fourier series of the given function f(x) defined by…

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

A:

Q: :Q7. Find Fourier series for the following function { 0 <x <T f(x) = %3D T <x < 27, and has period…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.