Find the cosine transform of a function of x which is unity for 0

Q: Find the finite cosine transform of 1 – where 0<x< T.

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Q: (11) The Fourier cosine transform of the function f(x) e; x>0, is

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Q: Use the definition of Laplace transform and Euler's formula to find the Laplace transform of cos t…

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Q: Determine the transform of the following functions using any methods . 2a sin 4t + 4b cos 3t

A: Some Laplace transform formulas: L{sinat}=aa2+s2L{cosat}=sa2+s2 Some properties of Laplace…

Q: X Q6) Find the Fourier cosine transform of f (x ) = sin x , 0<x <A 0, otherwise

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Q: (b) Find the Fourier transform of the function given below 1– x? if |x|1 and hence find the value of…

A: Calculate Fourier transform: Fω=∫-∞∞fxe-iωxdx         =∫-111-x2cosωx-isinωxdx…

Q: Find the Fourier sine expansion of f(x)=x² (3L– 2x) on [0, L].

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Determine the transform of the following functions using any methods. 2a sin 4t + 4b cos 3t

A: See the attachment

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

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Q: 7. Obtain the Fourier sine transform of the following functions: sin wx (c) x² +1' w > 0

A: The given problem is to find the Fourier sine transform of the given function, we have a general…

Q: Find the cosine transform fe(w) of f(x) for f (x) = -6 if 0 2. f.(w) %3D

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Q: Find the Fourier transform of (a) f (x) = sin (x²), (b) f (x) = cos (x2)

A: 4. Given that,fx=sinx2andfx=cosx2The Fourier transform of the above functions isdetermined as shown…

Q: 53. If Fs (n) is the Fourier sine transform of f (x) on 0<x<1, show that 2nt F.[f" (x)] = [f (0) –…

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Q: Find the Fourier cosine transform of f(x) = e-2x + 4e-3x

A: Given, f(x) = e-2x + 4e-3x Find Fourier cosine transform

Q: Find the Laplace Transform for the function e-Nt sin² (Nt)

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Q: { 1,-< |x| < = (0, anywhere else 2. Find the Fourier transform of the function f (x) =

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Q: Find the Laplace transform of 4 sin(3t)+2 cos(9t).

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Find the cosine transform of a function of x which is unity for 0 < x < a and zero sin ap , for x2…

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Q: Find the Fourier sine and cosine transform of f (x), if х, 0 2

A: Fourier Cosine transform and Fourier sine transform

Q: Find the transform, indicating the method used and showing the details (sin wt) (cos wt)

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Q: x(t)=sin(t-3T)

A: Z transform

Q: Find the inverse Fourier transform of the function 10 sin(3) w+T

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Q: b) Find the Fourier sine transform of f(x) = 12π, 0 < x < 6π

A: Fourier coefficients represent the amplitude of each harmonically-related sinusoid present in the…

Q: Find the Laplace Transform of the following function. 10e-5t sin 2.

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Q: Find the Laplace transform of f (x) = 3 sin 3x – 2e-2x

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Q: Solve for the Laplace transform of sint sin 2t cos t

A: The given function is f(t)=sin t sin2t cost  rewrite the function as  f(t)=122sin t cost sin2t…

Q: f(x)= == ¹xcl! Obtain the Fourier transform of

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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: Determine the transform of the following functions using any methods. t2 sinh 3t

A: Given function is : t2sinh3t

Q: Find the Fourier Sine Transform of the function 0026.png ,2.x 2 S(x)=| + be3x if x>0 6.x e if b = 5.…

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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) Find the Fourier Sine transform of the function f(x) = re %3D

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Q: The German mathematician Karl Weierstrass (1815-1897) noticed that the substitution t = tan(x/2)…

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Q: Find f(x) if its Sine Transform is Hence find F, ().

A: Given that f(x)=e-axx The fourier sine transform is  Fs=∫0∞f(x)sinsxdx=∫0∞e-axxsinsxdx…

Q: Find the Fourier transform of f (x) defined bv f x) = , a 10, > a and hence evaluate sin pa cos dp…

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Q: The non-periodic function f(x) is defined by f(x) = e-l=l. Obtain the Fourier transform of f(x).

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Q: Σ 4 NITX (пл)з (1- сos(пп)) sin. L f(x) = n=1 8

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Q: 2T (-1Y- Find f(x) if its finite sine transform is given by f, (p) = where 0<x < T. -, p = 1, 2, 3,…

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Q: 4- Find the Fourier sine and cosine transform of: e-x 0 <x < a F(t) = otherwise

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Q: Find ℒ{sin(at)}. For what values of s is this transform defined?

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Q: Find the exponential transform of the function {1, Pi/2<x<pi. and 0, otherwise} and write f(x) as a…

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Q: Q1: Find the fourier expension of the periodic function whose defination in one period is: 0<x<3 3…

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Q: · findd the fourier sine transform of f(x) = 7 A 9x 0<X<9 otherwise

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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: Determine the Fourier transform of f if f(x)=e* for x> 0 and f(x)=sinh2x when x< 0.

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Q: f (x) =| , where 0<x<T

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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 transform of the given functions by use of the table. f(t)= cos 3t-sin 3t

A: Lcos3t-sin3t=Lcos3t-Lsin3tUse Laplace Transform table:          Lcosat=ss2+a2,…

Q: Find the Fourier sine transform of (sinx, 0a (2) %3D

A: Fourier transform