Question 1. If the Fourier transform of f(t) = { 3 0

Q: f (x) AN X

A: The given problem is to find the Fourier series expansion from the given graph of the following…

Q: (2s-8.4) find the inverse transform of s2+0.4s–0.21 -

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Q: Write down Fourier Transform for the following non periodic function.

A: In this question, we have to write the Fourier transform of the non-periodic function. The function…

Q: Write the first 4 terms of the Fourier-Legendre expansion of the following function. Put in the…

A: It is known that the Fourier-Legendre polynomial series for a function fx in the interval -1,1 is…

Q: Find the Fourier transform of 4x if 121 <a f(x) - o if 1x129

A: To find the Fourier transform of the function  fx=4x,  if x&lt;a0,    if x&gt;a

Q: Find the inuerse Transform of the follawing: FG) + 4 3-3 - S-8 35?+12

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Q: Compute the coefficient Fourier an of the *-1, 0<r <a S(2) = { 0, *<I< 27

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Q: Find the Fourier Cosine Transform of the function 031.png ... f(x)= (ae¯mx + hex} if x>0 -nx if a =…

A: Please check step 2 and 3 for the solution.

Q: QUESTION 1 Calculate the Fourier transform of f(x)=√√ex and evaluate f(0) = f (w) denotes the…

A: Ans: 2 1 1 For detail...go through the solution...I have done in detail

Q: Problem 2. For the function defined by if -22x20 0<x<2 52 - 2 f(x) = 2x+2 sketch the 4- Period…

A: As per the question we are given a piecewise defined function f(x)  with period 4 and we have to…

Q: Q3. (a) Consider the continuous function f(t)=sin(2xnt). i) What is the period of fſt)? ii) What is…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Q1. Find the Fourier of the function in Fig.Q1 f(x) -a a x -a Fig.Q1

A: Q1.The function in Fig.Q1 is a sawtooth wave. The function can be defined as:f(x)=πa​xFourier Series…

Q: Find the fourier expansion for the function whose definition x, <x<- 2 (x) = 0, <x< -

A: The Fourier series expansion of the function fx is fx=a0+∑n=1∞ancosnx+bnsinnx. The following…

Q: Find the Exponential Fourier coefficient Cn for signal f(x) = x Defined on interval [-1 ,1]

A: Complex form of Fourier series is defined as follows: fx=∑n=-∞∞cne-inx2πL where,…

Q: State the definitions of direct and inverse Fourier transforms. Then, compute the Fourier transforms…

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Q: Compute the Fourier Transform of the following function (3 , –n < x < o (1 , 0<x< TI f(x) =

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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: f(x)= 0, x 1

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Q: 3. Compute sine and cosine Fourier transforms of the following function. fax+b0 [ +8 (3)

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Q: Show that the finite sine transform of , 0 < x < n is (- 1y*'- p

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Q: In each of Problem, write the Fourier integral representation (14.1) of the function and determine…

A: The Fourier integral representation of a function f(x) is given by:   f(x) = (1/√(2π)) ∫[from -∞ to…

Q: Q2/ from definition of Fourier transform, show that rect (t-5) is sinc (w/2)e-/2w

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Q: (3) A signal has Fourier transform as, 1 sinc (2w X(w) sinc + 2. Compute x(t)

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Q: Let f(x) = (x2 + 1), n<x <a be a periodic function, then the Fourier coefficient az = Answer:

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Q: The graph f(x)=x^2 was transformred to create k(x)=f(x-5)+1.  Which of the following represents…

A: Plot a table for the values of the x and f(x).xf(x)-24-11001124Draw the graph of x vs f(x).

Q: Find the inverse Transform F (6) = 6s s?+25 3. s²+25 S + 2

A: Note the result :

Q: If the Fourier transform of f(x) is f(k): f(x) x (a) Find the Fourier transform of in terms of f(k).…

A: Given that the Fourier transform of  is .We need to find the Fourier transform of  in terms of .We…

Q: Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below f(t) =…

A: ft=4for   0&lt;t&lt;10elsewhere

Q: Use (8), • S* f(1) dt = £^¹{F(5)}, to evaluate the given inverse transform. (Write your answer as a…

A: we know that laplace transform of e^(at) is (1/(s-a)).

Q: 0.x 1

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Q: 8. Find the 6th order Fourier approximation of the function that is periodic and f(x) = x, -2<x <2

A: Given function is fx=x ,   -2≤x≤2 Compare the interval  -2≤x≤2 with -L≤x≤L, we get L=2…