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

A:

Q: . Find the Z transform of : x(k) = (2)*sin,k

A: Z 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 third-order Fourier approximation of f (x) = x, 0 ≤ x ≤ 2π.

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Q: Find the Fourier transform of f(x) without using the Fourier transform table. f(x) = e-l×l. (-0 <x<…

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Q: Apply the theorem of integration of transforms to find the Laplace transform of f(t)=2sin5t. Show…

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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: Find the inverse Z-transform of x (z) = tanh z

A: The given data is: xz=tanh-1z To find inverse z-transformation of the given data.

Q: i) Find the Fourier sine transform of (sinx, 0a f(x) = %3D

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems.These are…

Q: Let f: RR be a continuous 27-periodic function whose Fourier series is +∞ 1 1/2 + + /20 cos(nx). n=1…

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Q: Find the Fourier transform ̄f(k) of the function f(t) = { cos(2t), −π/2 ≤ t ≤ π/2, 0, otherwise.…

A: Fourier Transform of the function:

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

A:

Q: f(x) = e-2x sin 5x

A: Given that: find the laplace transform showing complete solution f(x)=e^(-2x) sin 5x

Q: Calculate the Fourier transform of f(x) = (1 – 2)e-(z-a)?/2_

A: Calculate Fourier transform of e-x-a2/2:  ∫-∞∞e-x-a2/2·e-jωxdx=e-jaω∫-∞∞e-x-a2/2·e-jωx-adx-a…

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

A: Consider the given function. fx=0,        x&gt;1excosx,x&lt;1 Fourier transformation is defined as.…

Q: - Find the Fourier approximation of the specified order of the function on the interval [0, 2r].…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Determine the Fourier transform of e cl, with ca positive number.

A:

Q: Find the Fourier transform for x[t] = at*u[t], |a| &lt; 1

A: Given function is,

Q: 7) Use the Laplace transform method to solve the Volterra integral equation: u(x) =1-x - (x -t u (1…

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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 finite Fourier cosine Transform of f(x) = x2 in 0 < x < 4. CoSx Show that J_2(x) = -sinx –…

A: Multiple :  We need to find Fourier cosine transform of  f(x) = x2  in  0 &lt; x &lt; 4. Cosine…

Q: 3. Find the Fourier Transform of f(t) = 0, - osts0 le-at, osts ∞ a is positive constant

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Q: Find the Fourier coefficient an of f(x) = 3x - 2 on the interval [-1, 1].

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Q: i) Find the Fourier sine transform of (sinx, 0a %3D au Courier Transforms, Calculate

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

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Q: Q2- Find the Fourier Transform for f (t) =A cos o,t, where o, = 2n fo %3D

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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: a) Find the finite Fourier cosine Transform of f (x) = x² in 0 < x < 4.

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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: 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: Find the finite sine transform of f (x) if f (x) = x'in (0, n).

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Q: Find the finite cosine transform of f (x) if ƒ (x) = -x+ in (0, t).

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Q: x (n) = sin лn u (n)?

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Q: Expand the function f(x) into Fourier series: So T - I 0<r < -A<x < 0 f(z) =

A: In this question, we need to expand the given function into the Fourier series. For this first, we…

Q: Find laplace transform of x" + 3x' + 2x = t(e^(-t)) Where x'(0) = 0 , x(0) = 1

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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-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 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: 3. Find the Fourier transform of f(x) = {1, |x| 1 Also evaluate .00 Sinx dx

A:

Q: Solve the Laplace Transform 8. f(x) = (2/x)(cos1/2x)

A: note : We will consider the given function as : f(x) = (2/x) cos(0.5x)   Now we have to find the…

Q: The Fourier Coefficient bn is given by.... bn 1/m fx) cos nx dx bn f(x) cos nx dx bn= f(x) sin nx dx

A:

Q: 4. Determine the Laplace transform of the Laguerre polynomials, defined by et dn Ln(t) : ni din…

A: Solution:

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

A:

Q: 2) Solve the difference equation using z-transform yk+2 - 3 yk+1 + 2 yk = 0, with yo = 0, y, = 1.…

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

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

A:

Q: Find the Fourier Transform of f) = { - z - n<x< 0 0 <x<T

A: We have to find the Fourier Transform of…

Q: O Show that the Fourier transform of | 3 -2<1<2 0 otherwise f() = {0 6 sin 20 is given by F (@) =

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…