Consider the function f of period 4 defined on one period as 0, -2 < x≤-1 x+1, -1 < x≤0 1-x, 0

Q: 3. Find the Fourier transform of of 1/(1+t²).

A: Let  g(t)=e-at Then g^f=∫-∞∞e-ate-2πiftdt      =∫-∞0e-ate-2πiftdt + ∫0∞e-ate-2πiftdt…

Q: 324y/" – 180y' + 25y = 0, %3D y(0) = 8, y'(0) = 5. y =

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Q: Q8 Find the Fourier transform of the following functions: p,-1<x <1 f (x) = 0, otherwise p-x,-1<x <1…

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Q: find functions f and g so that f ∘ g = H.

A: H(x)=2x+1

Q: tan (w+2n eくな foo ttait

A: We have to find value of a and b :

Q: A. B. Determine the Fourier transform of the following: f(t) = {te- C. D. F(w) F(w) = F(w) = F(w) =…

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Q: Theorem 2.7. Let f be an arithmetical function which is not identically zero. If f is…

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Q: M(s) = 2-16 (s² + 16)² S

A: The given function Ms=s2-16s2+162 We have to find inverse Laplace transform using convolution…

Q: Find the Fourier transformation of the f(x) function given by the graph -T ㅠ ㅠ 14 π

A: The Fourier transform of a function f is given by

Q: 2e-2s 22. F(s) = s2 – 4

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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: -2x jika x > 0 jika x <0 f(x) =

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Q: Determine the Fourier Transform of the following function. -2 <x < 0, 0 <x < 2; Problem 1: f(x) =…

A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: f(t)=cos(at). f (t) = 2cos(3t). f(t)=1-cos(wt) f(t)= 4t · -f(t)=e.

A: Given,     1.  f(t)=cos(at)

Q: Question 1.i.) A truncated sine wave { sin5x, -T <x <T y = f(x) = 0, otherwise

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Q: 5s+3 6s F(s) = (5s2+4s+1) -- 9 s2 +7

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Q: 3s+5 F(s) s2-6s+25

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Q: . Find the exact values of the six circeular functions of e.

A: Six circular functions of 'θ' sinθ,cosθ,tanθ,cscθ,secθ and cotθ According to the question, First…

Q: f(t) = {b 0<t<3 otherwise

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Q: f(x)= 0, x 1

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Q: Use a formula to express w as a function of t if w - V4s + 5 and s- ef - 1.

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Q: 4iw i3w3 + 6i²w2 + 11iw + 6

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

Q: (c) f(t) = 0, t<3 t² + 3t-8, t≥3

A: Laplace transformation of the pecice wise function

Q: 4. Find the Inverse Fourier transform of Te-l@l.

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Q: Compute the Fourier transform of the Heaviside function

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Q: lace transform for the periodic function. + 2. 4. 1.

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Q: -2 < x < 0, 0 <x < 2; Problem 1: f(x) = f(x +4) = f(x) %3D |2x-,

A: It is known that the general form of Fourier transform is, F(ω)=12π∫-∞+∞f(x)·e-Jωxdx

Q: a square represented by the graph as follows. Find the fourier transform pair.

A: The Fourier Series is given by :Here, 1. f(x) is the function2. L is half of the period of the…

Q: 1 Y(s) : s2 + 7s + 10 a. y(t) =(e-5t – e24) b. y(t) =(e-5t + e²') c. y(t) =(e5t - e-2t) d. y(t)…

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