A graph of function which has period 2r is shown below. Obtain its Fourier expansion. Find the Laplace inverse of 25-5 9-25 Find the Fourier transform of /0)-1f x <1 f0) 0 otherwise.

Q: Find the Inverse Fourier transform of e) e 2 cw-4Jj 4- C4-wJj

A: Given: In this question, the given details are Here, the given expression is, e2(ω-4)j4-(4-ω)j To…

Q: x(t) =

A: To find the Fourier transformation of xt=u3t+2e-j2t

Q: ƒ is a 27-periodic function with the following Fourier coefficients ao = 0 = a₁ ¼ b₁ = 0 a₂ = -1b₂ =…

A: Given that the coefficient of Fourier series,a0=0a1= 1/3b1=0a2 = b2 =0 = a3 = b3Then series becomes…

Q: 3. Find the transformation fourier function from the following exponential function: fk) = e " jika…

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Q: Let {Cn} be the complex Fourier coefficients of f, 27-periodic, i.e. coefficients wrt the…

A: (1) Given that cn be the fourier coefficient of f. Let fn be the fourier coefficient of…

Q: The complex Fourier series representation of a periodic function of period 27 is given by 00 Fs(t) =…

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Q: 553-65-3 ² 5°CS+1)

A: We have 5s3-6s-3s3s+12 Now, we simplify it using partial fraction decomposition:…

Q: (1) In the Find the Fourier Sine Half-range Expansion of Fig. 1 determine (1.1) az Ans: (1.2) Ans:…

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Q: Find the Z-transform of the following functions: 11J (a) 2 n sin

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: (еxp(-ах) when |x| 1 1

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Q: Find the inverse Laplace transform f (t) = L¯¹{F(s)}. 3 2s a. F(s): = - b. F(s): = 2s-5 s²-4s+13…

A: ​(a) L−1{F(s)}=23​e25t​−(34sin(3t)​+2cos(3t))e2t​​(b)L−1{F(s)}=−e−2t+tet+2et​Explanation:Step 1: a.…

Q: 14. Find the Fourier serial expansion of the function f(x)=x+1, for 0<x< π

A: We have to find the fourier series expansion of the functionWe know thatThe fourier series expansion…

Q: Determine discrete time Fourier transform for the given signals. x(n) = 3(2") и(-п) —

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Q: The inverse transform of * 1 2 4s8s O % e (exp -t) sinh t O % e (exp t) sinh t O 1/4 e (exp -t) cosh…

A: Solution:  Given,  14s2-8s = 14(s2-2s)                             =14(s2-2s+1)-4=14((s-1)2-1) Now,…

Q: Determine the Z Transform of the following system. Kindly upload your answer sheet in a PDF format.…

A: The given system is: xn=12nn≥50n≤4 We know that the Z- transform of a system xn can be expressed as:…

Q: Compute the following 3 integrals: e¬l=le-ikz, dr dr 2 1 (1+. Yes, that's an absolute value in the…

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Q: Please

A: Given: Hs=13s2+46s+133s+12s2+6s+25 To find: The Inverse Laplace Transform. Concept used: If a…

Q: If the Discrete Fourier Transform of the four point sequence{a, b, c, d}is given by {0,2i, 0,4i},…

A: Given that, Discrete Fourier Transform of four point sequence (a, b, c, d) is {0, 2i, 0, 4i} Here N…

Q: Convolution method: Find the function whose Fourier transform is 1 (4 + k2)(9 + k²)

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Q: Please show all solution with explanation. thanks

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Q: Find Z transform of cose (Use fundamental formula) Then Find Z transform of cosne

A: Hh

Q: 4iw i3w3 + 6i²w2 + 11iw + 6

A: Given: 4iωi3ω3+6i2ω2+11iω+6 To find: Inverse Fourier Transform of the given expression.

Q: 2.) 98-8 s² +248

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Q: The Fourier representation is given by the following formula; f (x) = A + E ar · cos (kwx) + br ·…

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Q: Suppose that o(r) is a periodic solution of the following equation in R with period 2. 2y"(x) + y(x)…

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Q: fCE) = 3 - 2Ltļ 2 %3D otherwise %3D

A: Given : ft=3       -2≤t≤2ft=0          otherwise Fourier transform of a function is given by…

Q: f is a function with the following Fourier coefficients on the interval [-, π] ao= - a₁ = b₁ === a₂=…

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Q: Example: Find Fourier series of the periodic functions sinx RCx)= くメくて ○く×くT %3D TTくメく2T

A: Solution for some periodic function f(x) with period T, its fourier series equivalent is given as…

Q: sin x dx using Fourier transform. æ(x² + 1) -00

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Q: 1 ++²)

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Q: - use the Cauchy Residue Theorem to integrate the given function around the

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Here,  we have to find inverse Laplace transform of given function.

Q: Sketch the graph of f and expand – 2 0<x<<4 f(x) = {6 -x 4 <x< 8' in a Fourier series of period 8.

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Q: Draw the graph and find the Fourier transform of f(t)=e-at, a>0.

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