Find the Fourier Cosine Transform of the function -png f(x) = (ae-4x + be-3* + ce-2*) if x>0 -4х + се %| if a = 3, b = 7, and c = 5. Then, evaluate the transform if w = 15.

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

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

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Q: Using Laplace transform, solve 2 + y = 3t with y(0) = 3 and determine y(5) in 4 decimal places

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Q: Find the Z transform of:

A: In this question, we used the formula for Z-transform which described in step2

Q: Find the Laplace transform of tan(t). Show your full steps Solution.

A: Laplace transform

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 Fourier Sine Transform of e-t and hence find the Fourier Cosine Transform of te-t.

A: Fourier sine transform of e-t is ∫0∞e-tsinωtdt. Calculate it:  ∫0∞e-tsinωtdt=∫0∞e-teiωt-e-iωt2idt…

Q: Find the laplace transform of (b) L-- [tan-" )]

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Q: Find the transform. Show the details of your work. -4) 1.5 sin ( 3t

A: Here we have to find the Laplace transform of        1.5 sin(3t - π/2)

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

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

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 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 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 Laplace transform of -6s e F(s) = s2 + 2s – 3 - - (Use for u.(t) .)

A: The given expression is Fs=e-6ss2+2s-3. We have to find the inverse Laplace transform of function…

Q: For the data shown, determine the constants and/or coefficients for the discrete Fourier transform.…

A: Step 1 The kth discrete Fourier transform (DFT) coefficient for the set of N x-values corresponding…

Q: the Fourier transform of a continuous time signal x(t) is X(ja), then, the Fou ansform of the signal…

A: Given, Fourier transform of a continuous-time signal                                   x(t)  ↔…

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 Exponential Fourier coefficient Cn for signal f(x) = x Defined on interval [-1 ,1]

A: Complex form of Fourier series is defined as follows: fx=∑n=-∞∞cne-inx2πL where,…

Q: b-F(w)=e"w - t

A: According to the definition of modulus function f(x)=|x|, the value of function f(x) is x, if x≥0…

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: Find the transform, indicating the method used and showing the details u(t-2T) sint

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Q: Obtain the Fourier transform of the function where f(x) = 0 for x &lt; 0 and f(x) = e−axsin(bx) for…

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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: 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 Laplace transform of (cosht + 1)2.

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Q: 2+5( jw) (jw)' +3( jw)–10 a- F(w)=-

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

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Q: Compute the Fourier transform of the Heaviside function

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

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

Q: Find the Inverse Fourier transform of Te-lw||

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Q: welą Find the inverse Laplace transform of ,-7s F(8): s2 – 1s – 6 f(t) = - (Use step(t-c) for u,

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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: * - 10x + 9x = 5t, x(0) = -1, x(0) = 2

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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: [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: x(t) A -1 -A

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Q: Find the Fourier-sine transform of ƒ(x) = |x − 3| − |x − 2| + 1. -

A: We will first compute the complete Fourier transform of f(x) then using Euler's formula and…

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

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

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Q: - f(x) = бе -чтх -3.5

A: The given problem is to find the inverse Laplace transform of the given function. Given function…