Q.No.1 Find the Fourier Series of the following function:: 0 if – n< x < 0 1 if 0< x < f(x) = -1 if " 4

Q: Ex. (3) f(x)=xcos.x, < 28)

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Q: Represent the following function in term of Fourier series: -{: x, 0<x < T T, T<x < 27, and has…

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

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Q: Q2/Find the Fourier series for the following periodic functions. -a/2<x<n/2 1) Ly= 1 cos(3x) + 3…

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Q: A function f(t) with a period of 2*pi is 1 when t is from -pi to 0 and is -1 when t is from 0 to pi.…

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

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

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Q: 5. Consider the following function : x 0 (a) Calculate the Fourier series (both sines and cosines)…

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Q: (x, b. Find the Fourier sine series for this function: f(x) = 0 < x < T/2 0, <x< n and sketch odd…

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Q: 1. Find the Fourier series of the following functions: (c) f (x) = x + sin x -T < x < T, (e) ƒ (x) =…

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Q: Q1: 1. Find The Fourier series for the function defined by (x - f(x) = {* – 2 0 < x< 4 1 -4 <x< 0S…

A: As per guideline, one question at a time

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

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

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Q: Q1) Find Fourier Series for the following function: - 2 <t<2 2 <t<6 a) x(t) Period ( T=8s) by using…

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Q: Find the Fourier series of the given function if - 1<t< 0 if 0<t<1 (0, f (t) : where period T = 2.

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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: Q4) A. Find the Fourier series of the periodic function -K when -n < x < 0} K when f(x) = *, and…

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

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Q: Consider the following. f(x) = 2, 0 < x < n; sine series, period 2n (a) Find the required Fourier…

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

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

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

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

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

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Q: Find the Fourier series to represent the function in period x=-pi, x-pi for the following function *…

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

Q: 2. Find the Fourier series for the following functions. -L< x < L; x, -T <x <0 (a) f(x) = -x, (b)…

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

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Q: Q1: Find The Fourier series for the function defined by (X – 2 f(x) = {*´ 0 0 < x<4 -4 < x< 0S %3D

A: We have to get Fourier series

Q: Find the Fourier series expansion for the function of period 2π as follows:   f(t)={2 -π<t<0…

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

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

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Q: 1. Fl the fourier series representing, f(x)=x, 0<x< 2 and sketch its graph from x =-4 to x=4n.

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

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Q: Consider the following. f(x) = 12, 0 < x < 1, sine series, period 4 1 < x < 2; (a) Find the required…

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

A: The solution is given as

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

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Q: 1. Determine the FOURIER COSINE SERIES of the following STEP FUNCTION: (-1,0 < x < 2 f(x) = } 0,2 <…

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

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Q: Find the Fourier series of the given function f (t) = {" if - 1<t< O if 0<t<1 where period T = 2.

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Q: 1. Find The Fourier series for the function defined by (x – 2 f(x) = {* = 2. Find the Fourier Series…

A: I have answered first question as per the guidelines.

Q: Q2/Find the Fourier series for the following periodic functions. co(x) -cos(32) + cos(5x) .)…

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: Q3: Find the Fourier series to the function: f«) = { } - 2<x<0 0 <x< 2

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Q: 1. :) Sketch the even 27-periodic extension and find the Fourier Sine Series of the function f(t)…

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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: For the given periodic function, (0 f(x) =} nx %3D The coefficient a, of the continuous Fourier…

A: We find Fourier coefficient an of given function

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

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Q: The real form of the Fourier sine series for the following function: (-1), - T <x<0 , is f(x) = |x|…

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Q: Q 2: Determine the Fourier series for the periodic function of period 2n defined by: 70 when - T <t…

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