Find the Fourier Sine Transform of the function f(x) = (ae-4* + be-3* + ce-2*) if x> 0 if a = 6, b = 7, and c = 3. Then, evaluate the transform if w = 14.

Q: 1 (b) Find Fourier cosine transform of f(x)=< -1 <x< 0<x</

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Q: Compute the Fourier Transform of f(x) = e-ax-

A: Fourier transform of a function fx is defined as  Ffx=∫-∞∞fxeisx dx Gamma function =∫0∞e-x xn-1 dx

Q: Find the Laplace transform of cos2t.

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Q: Find Fourier transform of F(x) = e".

A: Answer:

Q: Find the Fourier transform 1-x, | x | 1 sin x Cos X CoS x Hence evaluate dx.

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Q: Q1\ Find the Z-transform of A) cosh 2

A: The given question can be solved as shown in step2.

Q: Q3/ Find Fourier cosine transform of the function f (x) = 2x ,0 < x < 4

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Q: find the Laplace transform of x3

A: Given : To find the Laplace transform of x3

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: 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 of this function by expressing it as a combination of the functions you…

A: The Laplace transform of the function is represented as , it is defined as , since the dimension of…

Q: Find the Fourier transform of -at TE|< 1 fCE) = otherwise

A: We have to solve the given problem.

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

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Q: Find the Inverse Fourier transform of Tre-la.

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Q: Find the finite Fourier Cosine Transform of f(x) = 1- in (0, x).

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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: -t cos(3t

A: To solve this problem, we  use the  result of laplace transformation.

Q: Find the Fourier transform of the Gaussian function f(x) = e-ax".

A: Note "As per our company guidelines we are supposed to answer ?️only first question. please repost…

Q: Find the inverse laplace transform of the function

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Q: Find the Fourier transform of f (x)- 2ix if -1<x< 1 lo f(x) = otherwise

A: The Fourier transform of the function f(x) is defined as ∫-∞∞eikxf(x)dx. The Fourier transfrom…

Q: How is the existence of the Laplace transform of a function guaranteed?

A: We known that the  Existence of the Laplace transform of a function guaranteed

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

A: Z transform

Q: 5. Find the Fourier transform of f(x) = 5 if lxl<1 and f(x) = 0 otherwise.

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

Q: (1-1z1, 1리1

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

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Q: Use the Fourier transform method to solve du k at ax2-Yu, -o∞ 0 u(x, 0) = f(x).

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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: Find the fourier sine transform of a) f(x) = exp(-ar) and deduce sin(sz) -ds = 2+a² -az b) f(x)= re'…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: Find the Fourier transform of (x) (13x if|x] 1

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Q: Find the inverse laplace transform of the function.

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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: 3s-2 2s2-4s+2

A: The given function is                                             3s-22s2-4s+2

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

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Q: Determine the inverse laplace transform of 4s2 - 8s

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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: [a² - x², Find the Fourier transform of f(x)= • 0, and hence 1C. |x| > a evaluate (Sin sint-t cost…

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Q: N (z−2)²

A: Follow the steps.

Q: Find Fourier cosine transform of: and deduce that - ax -e p²+ b? 1 log P+ /2T cos px dx = 2 p +a

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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 inverse laplace transform of e-2s

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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: Find the Fourier Transform of f(x) = {1- x - n<x<0 0 <x<n %3D

A: Given the function, f(x)=0           if, -π≤x≤01-x     if,      0&lt;x≤π We have to find the Fourier…

Q: Find the inverse z-transform of

A: In this question, the concept of z-transformation is applied. Z-transform In its most basic form,…

Q: Find the Laplace transform of e-2t(sinh(2t))2.

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Q: Can you provide 2 Examples of Finding Laplace Transform containing t and exponential using the…

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Q: Find the finite Fourier Cosine Transform of f (x), where 0<x <"/3 when f(x) = (x – n when T/3<x<n°

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Q: Find the Fourier cosine transform of e-x.

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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: Use Laplace transform to solve the ODE. x" -3x' + 2x = sin2t, x'(0) = x(0) = 0 %3D

A: We will find out the required solution.