By using the Fourier transform table, find the Fourier transform for the function 7(t)cos(3t) OA. LF(w+3)-Flw-3)1 OB LIsinct 3(w+3),3(W-3), 2 -sinc( o. 1 sincr 3(w+3),snet 3(w-3), 2 ++sinc OD.None of these

Q: What is the Fourier transform of the function 4 cos(5t) on the interval [-x, a]| Select one: O a. 4…

A: Here we have to find the Fourier transformation of the function x(t) = 4 cos (5t) Using the formula:…

Q: If the function of is odd function (i.e. f(-x) = - f cx)) then, the Fourier transform of f(x) is…

A: Introduction: The Fourier Transform may be used to deal with preliminary boundary cost problems at…

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: In the case where a = -T and b = T, compute (sin px, sin qx), (sin px, cos qx), and (cos px, cos…

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Q: Find the Fourier Sine Transform of the function f(x) = ae^(-bx) if x > 0 if a = 14.5 and b = 11.…

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Q: 2w Inverse fourier transform of is w²+9 Select one:

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Q: HW: Find the z transform for sin (ak):

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Q: IS kept contact with ice at 0°C' and if initially the rod is submerged in hot water at 100°C. Use…

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Q: By using the Fourier transform table, find the Fourier transform for the follwoing function A2(3t)…

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Q: 8.(a) Find the Fourier transform for the function cos x, -n/2 7/2 f(x) = 0, (b) Use the result in…

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Q: Show that d(w) - = [6(w− 1) + 6(w+1)] is the Fourier transform of cos(t). Show that d(w) = −ix[8(w −…

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Q: find the fourier coefficients for the function of period 2pie as follows: f(t)=2t^3,- pie<t<pie

A: Given f(t)=2t3 And the interval is -π&lt;t&lt;π Here L=b-a2=π-(-π)2=π Fourier Coefficients are a0 ,…

Q: 3. Find the Fourier Transform of a t < 2 a а f(t) = 1 %3D -- 2 < t Whose graph is shown below V t. V

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Q: 2s3+ 4s²+1 F(s) = (s²+ 2s+17)(s²+ 4s+20)

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Q: 5. The fourier transform of the function f(x)=eI, is 2 4- w? O b. 2 w? -4 4 С. w? - 4 Od. 4+w? 4.

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Q: 2 f(x) = (ae-4x + be-3x + ce-2x)ʻ if x>0

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Q: -3iw sin 5w 20e F(@) = %3D 3

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

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Q: of the function. 4. Find the Fourier transform of of 1/(1+t²).

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Q: Find the Fourier cosine transforms of 2e * 5e.2". 2.x

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Q: 2) Find the (complex) Fourier transform of 1-2, if r| S1, F(z) 0. if |피> 1, I COS I- Sin z and hence…

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Q: Find the Fourier transform of A(t/4) (a) sinc²(w/4) (b) sinc (w/2) (c) sinc (w) (d) sinc2(2w) O (a)…

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Q: Find the Fourier transform of -et +2 cos(t). (a) -27 8(w+ 1) (b) 2n 8(w + 1) (c) -27 8(w- 1) (d) 2n…

A: To solve this problem we use the following the results and formula:

Q: Q4: Find the inverse Fourier transform of the spectrum: (T - 2 < w < 0 2 X(@) = 0 < w < 2 2 0.W

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Q: Find the fourier transform of following signals a. x() = cos (2xf.1) b. x(1) = sin (27f 1) c. For…

A: Calculate Fourier transform of cos22πfct: Fcos22πfct=F122cos22πfct-1+1…

Q: Find the Laplace Transform of sin2t + cos2t. a. (s-2)/(s2-4) b. (s2+4)/(s+2) c. (s2-4)/(s-2) d.…

A: We know Laplace  transform of sin(at) is as2+a2 We know Laplace  transform of cos(at) is ss2+a2

Q: cos 4t-cos 2t 3. f(t) = t

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Q: Find the transform of the given function by use of a table. f () = | = cos -4t - sin -4t

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Q: 1. (a) Given the Z-transform of sinwt and coswt, find the Z-transform of -at sinwt and e-at coswt by…

A: Introduction: Z transformation follows many different properties. These properties are widely used…

Q: a) Find Fourier Transform f (x) = |x| > B and Evaluate Sin[2B]Cos[2x] da -8-

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Q: I the Fourier transform of f(t)= 3sin5t +4cosl %3D

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Q: Find the Fourier transform of sinc (2t). (a) 2n A(w/2) 3. (b) п Д(u/4) A(w/8 (d) A(w/16) Moving to…

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Q: 7. Find the Fourier sine and cosine transforms of the following functions defined on [0, ∞). x =…

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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…

Q: Suppose the Fourier transform F(w)=re-lwl, is known. Show that the inverse Fourier transform, viz.,…

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Q: By using the Fourier transform table, find the Fourier transform for the follwoing function…

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Q: Consider a function z(t) with a period To = 3 and Coz = 5 Given another function: y(t) = -2x(t+2) +…

A: Given that,  yt=-2xt+2+1and T0=3 According to the shifting formula , Cky=Ckxejkω02     =Ckx…

Q: 5) Find the Fourier coefficients ao, an, bn for the following periodic function: - 2<ts-1 - 1<t<0 0…

A: Here, the period of the function is 4.  2L=4L=2 That is, f  is defined in the interval [-L,L]. The…

Q: a Find the Fourier transform of the signal x(7) = 2 cos(m)[(1+3)-(1-3)], using the Fourier integral.

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Q: x(t) 2 -1 -1 1 -2

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Q: Find the Fourier transform of the following function: 7 sin(3r – 2) r2 + 25 - 2 exp (4 - 5|r-3|).

A: We are given a function in variable x and we have to find its Fourier transform. For that we will…

Q: Find the transform of the ff: a. by calculations b. by using table 1 1.f (t) = 5 sin 4t 2. f (t) =…

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Q: Find the z-transform of the following equations: a. 2un+n b. cos(3n) + 2 sin(3n)

A: According to our guidelines I can answer only question no. (a)

Q: 1. Find the Fourier transform of the function h(t) 4 -+ 2e-nt2 - ei4nt

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Q: 27. Explain why this function does or does not have a Fourier transform. If it does, compute its…

A: The given function: f(x)=0,             |x|&gt;1excosx,   |x|&lt;1 This function have a Fourier…

Q: 1. Find the Fourier transform of the following functions, and verify your results by com- puting the…

A: Use the properties of Fourier transform to determine it. Apply the properties and simplify to get…

Q: Show that d() = ñ[6(w − K) + 6(w + K)] is the Fourier transform of cos (Kt).

A: To prove dw=πδw-k+δw+k is the fourier series of cos(kt)

Q: 4- Find the Fourier sine and cosine transform of: 0 <x < a F(t) = {o otherwise Note: using sin x =…

A: Fourier Sine Transform: Let Fx be defined for x&gt;0. Then Fourier sine transform of Fx is denoted…

Q: Find the z-transform of the following equations: b. cos(3n) + 2 sin(3n)

A: We need to find z - transform of , un = cos3n + 2 sin3n That is , zun = zcos3n + 2 sin3n zun =…

Q: Find the inverse z-transform of the following: z|2| sin 3 i. z-15 , z²-(2|2|cos 3)z+|2|2]

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…