1. g(t) 3D 4x(t)e/2n4(0) + Зу(t) 2. g(t) = 2y(t) 3. д(t) %3D х(t —2)у(4t) 4. g(t) = 8(t) * y(t) dt

Q: F-¹ ¹(1+jw) (2+jw)

A: L

Q: Verify the Power Rule for the exponent 1/n, where n is a positive integer, using the following…

A: To Verify:  the Power Rule for the exponent 1/n, where n is a positive integer. Using and rewriting…

Q: Find a linear differential operator that annihilates the given function 1+6x-4x3

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Q: Find the sine transform of a function of x which is equal to sin x for 0 <x<a and 0 for x2a.

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Q: Use the tables to find the inverse transforms of the following functions. (i) (i) 홈

A:

Q: Find the Fourier transform of S (x) =!-\,| sin x dx Hence evaluate

A: Given,    f(x)= 1-x, x≤10        , x&gt;1

Q: Evaluate (a) log(2-j3)(6(sin(√ī})² (b) 11/2

A: Given:  log2-j36sinj2 jjj2 To find: We have to evaluate the given expressions.

Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -

A: I have done solution step by step in detail....go through the solution

Q: I. Perform the indicated multiplication on the differential operator D. (xD -8)(xD +3)

A: Solution :-

Q: Find out a real-life problem, which can be solved using the Fourier Transform Techniques. Also, give…

A: A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine…

Q: x) = {0 ² ². 0, Determine the Fourier transform of the function: f(x) 0<*? x<0

A:

Q: What is the Inverse Fourier transform of: F(w)=, (w+6) Your answer should be expressed as a function…

A: To find inverse Fourier transform of Fw=-46+iw3 , we can use some standard Fourier transform…

Q: find the fourier transform of logx u(t)

A: Unit step function: u(t)=1t≥00t&lt;0 Fourier transform of a function fx is  Fp=∫-∞∞fteiptdt…

Q: olve for the inverse fuction of f(x)=x/x+1

A: In the given question we have to find the inverse of the function f(x)=xx+1. Concept: for the…

Q: Find the inverse. y = 1 +4 O y = a? – 8x – 16 O 1 = y + 8y – 16 O y = 1 – 8x + 16 O * = ? – 8y + 16…

A:

Q: 7) f(x)= xe-x 0 if -1<x<0 otherwise

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx  We are given fx=xe-xif…

Q: Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q…

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Q: Find the function f(x) that has Fourier transform (k) = (1+k4)-1.

A: Here we have to find out  .Now from definition of inverse fourier transform , to evaluate this…

Q: what is the discrete fourier transform of y = 001010

A: Introduction: Discrete Fourier transformation is applied when the signal is discrete and finite. For…

Q: Use Cayley-Hamilton theorem to find (i) the inverse of A = (ii) A

A: This question is related to matrix, we will solve it using given information.

Q: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x)…

A:

Q: f(x) = 0 if -1<x otherwi

A: Formula for the Fourier Transform of fx is  Fw=∫-∞∞fxeiwxdx We are given fx=|x|if…

Q: Use the tables to find the inverse transforms of the following functions. (1) – (ii) 금

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Q: Find the Fourier Transforms of the indicated function: f (x) = xe-|x|

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Q: What is the Fourier transform of: f(t)=sgn(t) e? Your answer should be expressed as a function of w…

A: Given a function ft=7i2sgnte−8t Explanation ft=7i2e−8t       for t&gt;0 ; t&gt;0 sgnt=1−7i2e8t…

Q: F(@) = ? -1 f(t) 1

A:

Q: What happens to this base function and why? a(x)= x2

A: The function a(x)=x2 is a basic quadratic function. In this function:- x is the input variable.- x2…

Q: Xpress

A: The Back shift operator is denoted as B and is defined asByt=yt-1 If yt shifts data to two back…

Q: Write expoential Fourier transform of f(x) = e-l*l.

A: We need to find Fourier transform of  fx = e-x We know the formula for Fourier transformation of…

Q: Compute each of the following for the polynomial f(x)=−7x^8+7x^5+7x^3−6x. (a) f′(x)= (b) f′′(x)=…

A: We have f(x)=-7x8+7x5+7x3-6x (a) Now Differentiate with respect to "x"…