ex:-Find The Fourier expansion ot FOX=X-x³ -1

Q: find the Fourier expansion of the periodic function shown below 2- -2

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Q: Find the Fourier Series for the - 1/2 < x< A/2 f(x) = { a / 2 < x < 3t / 2

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Q: Express f(x) as a Fourier series in the inerval 4 %3D 12 - T<x<T

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Q: A: Find the Fourier series expansion for the following function. F(t) = 2t from - 1 to n

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Q: Find the Fourier series of the Function below. ード if -2<×く。 %3D k if o<Xく2

A: Given f(x)=-k   if -2&lt;x&lt;0k       if 0&lt;x&lt;2 If we replace x by -x, we have f(-x)=-k   if…

Q: rom the Fourier expansion of f(x) = {(1– x)? 0<x<1 t

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Q: 1. Expand the following function in Fourier series: f(x) = . .- 2<x <2 %3D

A: Given fx=x2, -2&lt;x&lt;2

Q: Find the coefficient of x²y² in the expansion of (–x+ 3y)*.

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Q: Expand in a Fourier series f (x) = a², 1 < x < 1 then find 2' n4

A: Given that fx=x2 and find Fourier series in -12&lt;x&lt;12. The Fourier series is…

Q: f(t) = 2t + n, - n<t< N

A: Fourier Series: The general formula for the Fourier series of ft in the interval a&lt;t&lt;b is…

Q: Expand f(x) = 5x - 3, -1 < x < 1, in a Fourier series. %3D 8 f(x) = n = 1

A: Concept Used: Fourier series of the function  fx on a interval -L≤x≤L is given by…

Q: Find the Fourier series expansion of the following function: f(x) = x^2, on 0 ≤ x ≤ 2π Please use…

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Q: Find the following in the Fourier series expansion of the following functions: b. br for f(x) = 3x…

A: Given The given function is fx=3x. Apply formula  fx=a02+∑n=1∞ancosnπxL+bnsinnπxL If the function is…

Q: Find the Fourier expansion of f (x)=-x; – x<xST;

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Q: Find the Fourier series for f () =| |, |< 2

A: First of all from next time capture the image clearly.

Q: find the fourier series of  f(x)=x^2 on interval − 2&lt; x &lt; 2 and To show 1+ 1/2^2 +1/3^2…

A: According to the given information it is required to find the fourier series of f(x) = x2 on the…

Q: 2. (a) Use Taylor's theorem to find the first degree expansions of (i) sin x, (ii) e and (iii)…

A: for the function  f(x)  taylor polynomail of first degree about  x=0 is p(x)=f(0)+x f'(0)

Q: Find the Fourier series representation of the odd extension of the function. Then, find the value of…

A: Fourier series for the odd extension of a function defined in (0,L) is given by fx=∑n=1∞ bn…

Q: -5x Expand ()* in ascending powers of x up to and including the term in x3 1+x assuming x = 50'…

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Q: 06) Expand in Fourier Series f(x) = 1x1 in -2<x<2

A: What is Fourier Series: A Fourier series is a trigonometric series representation of a periodic…

Q: Find the Taylor expansion of f(x) = (x2 + 7)(7/3) for x near to 1, up to and including the x2 term.

A: Taylor series

Q: The z-transform of [n] = u[-n] is

A: Using Z transform

Q: 3. Find the fifth Taylor Polynomial for f(x) = In x around 1.

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Q: Use Heaviside Expansion Theorem (2s^2+1)/[(s-2)(s^2-2s+5)^2]

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Q: 5. Expand the following function in Fourier series where f(x)=x+r and show that 1 =1-- + 3 1 1 + 1 5…

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Q: The first term in the Maclaurin's expansion of f(x)= In(1 – 2x) is O-2 o not defined 0.

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Q: Find Fourier expansion for the function f(x)= x-x², -1<x<1.

A: We are asked to find the Fourier series expansion for the following function: fx=x-x2,…

Q: Find z-transform for 8 © x(n) = 5ucn) - 2 (055 un) = 5 e(n) - 2 (0-5) u(n)

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Q: ind the complete Fourier Series of f(x) = { 4 if (-2 < x < 0) if (0 < x < 2)

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Q: 7–11 . Find the Fourier series of the function. 1 if |x|<1 lo if 1<|x|< 2 1. f(x) f(x + 4) =fƒ(x)…

A: Consider the provided question, fx= 1,              if      x&lt;1 0,               if1⩽x&lt;2…

Q: 1- Find Z-transform if x (n) = bln|

A: The given function is xn=bn To find its Z-transform.

Q: 1 What is the expansion of f (x) = 1-r OE(-1)"x" Ο Σ 2n

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Q: B/Find the Fourier series of the following: if 0 <x < 1/2 4 f(x) = {x 1 if 1/2 < x < 1 if if 1< x <…

A: The Fourier series of the function is given by fx=a0+∑n=1∞ancossnx+∑n=1∞bnsinnx First to find a0:…

Q: f(x) 5 5 5 Interval: 0 <x<3

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Q: Find the Fourier Series expansion of the following function and draw three periods of the graph of…

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Q: "Expand the following function in Fourier series. 3n + 2x - T < x<0 f(x) ={ | T +2x 0<x<n

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Q: Consider the function ƒ : [-π, π] → R : x ↔ 1 + 2x + sin(2x) and extend it periodically to all of R.…

A: The convergent sequence is when through some terms you achieved a final and constant term as n…

Q: let Fx) = ーn, -H<X <〇 /0くx<H find the Fourier series of F(x) over [-I, M] [-M, H]

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Q: B/Find the Fourier series of the following: if 0 <x < 1/2 f(x) = {x - if if 1/2 < x <1 1<x< 3/2 3/2…

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Q: Find the N-point Discrete Fourier Transform X[k] for the following sequence: 0<n<N-1 x[n] = 0,…

A: The given sequence is xn=13n,0≤n≤N-10,Otherwise. We know the the discrete time Fourier transform of…

Q: 10. (a) Produce the linear Taylor polynomials to f(x) = In (x) on 1 < x < 2, expanding about x, = }.…

A: (a) produce the linear taylor polynomial  fx=lnx on 1≤x≤2 expanding about x0=32.

Q: Let f : (-7, "] → R f (x) = 7 if - R < x < 0 _and S (x) = 7 if 0<x < m. Determine bị in the Fourier…

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Q: Determine the Fourier-Bessel expansion in the functions Jp(λnx) for f(x) = xp, on the interval(0,1).…

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Q: Q6 Using the Fourier series of f(x) 1 + 1 -+ 2 1 1 1 + = 9 + 1 16 (-π< x < π) Prove that 1 π² 6 + 25…

A: The given function is f(x)=x22 ,   -π&lt;x&lt;π    The Fourier series of a function is of the form…

Q: 1. Find the first-order derives:

A: Given,      4x2+715x4+534x3-37x6+15x-30

Q: The first term in the Maclaurin's expansion of f(x) = In(1 – 2x) is

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Q: Example 3) Expand f(x) = x - x²as a Fourier series in - 1<x<I.

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

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. (x) = e 6x What is…

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Q: Construct a Fourier Series for f(x) = (x² Ox)for 0 < x < 3t

A: Since you have asked multiple questions, we will solve the Question (a) for you. If you want any…