Find the finite Fourier Cosine Transform of f (x), where 0

Q: 6. x(t) = cos at + sin at

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Q: Find the Laplace Transform of f () =2 sin a +3 cos 2z.

A: This is question of laplace transform . Solution is given below

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

A: Z transform

Q: Find the Laplace Transform: 2x2 e* cosh x

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Q: If f(x) has the Fourier transform F(p), then f(x) cos ax has the Fourier transform [F(p-a) + F(p +…

A: If Fourier transform of f(x) is F(p), then we have to prove that the Fourier transform of f(x)…

Q: Q8 Find the Fourier transforms of: sin* - pn Sx< pn f(x) otherwise

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

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Q: Find the Laplace transform of: 1. f(t) = e(-3t) sin(2t) cos(3t) cosh(t)

A: Given that 1) f(t) = e-3tsin (2t) cos (3t) cosh (t) 2) f(t) = 1+sin t + (8t)15 + t2cos 3t We have to…

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: (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: 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: The best approximation of f(x) = cos(8 + x) by a Fourier polynomial of degree 1 is

A: The Fourier Polynomial of degree n is Fn(x)=a0 + ∑k=1nakcos(kx) +∑k=1nbksin(kx). Then, the Fourier…

Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]?

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

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Q: Find the Laplace transform of: 1. f(t) = e(-30) sin(2t) cos(3t) cosh(t)

A: Given function can be written as ft=e-3tsin2tcos3tet+e-t2=e-3tet+e-t2sin2tcos3t

Q: Find the Z transform of [cos (ax), x20 f(x)=: 0, x<0

A: Given, fx=cosax,x≥00,x&lt;0 As we know that, Ze-ax=1+e-aτ+e-2τz-2+...=11-e-aτz-1=zz-e-aτ

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

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Q: f(x)= 23, X cosx x2 x2월 욀

A: This question is for Laplace transform not for inverse Laplace.

Q: Find the Fourier transform of f(x) = sin x. In what sense does the Fourier transform exist?

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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: 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: * + 3x + 6x = 0, x(0) = 0, x(0) = 3, x(t) =?

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Q: Solve the laplace transform 3x-6x= Sin 2t %3D given when t=0

A: Use the laplace transformation table and derivative formula

Q: Find the inverse Laplace transform of Y (s) = + 1(1 - e-**).

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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: If f(x) is an even function defined on the interval (-00,00), then prove that: 2 F.{f(x)} = √ [ƒ(x)…

A: Introduction: The Fourier rework is a mathematical feature that converts a sign from the time area…

Q: Determine the Laplace transform of L(sinh 5t * cos t)

A: Explanation of the answer is as follows

Q: Find the laplace transform for the equation f(x) = 2 e^-2t sin4t

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Q: Find the Laplace transform of f (x) = 4 sin x + 6 cos 2x

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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 x 2 a.…

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Q: f(x) = = 1 2 cos: X x

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

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Q: (a) Find the Fourier Transform of the function: f(t) = e, for t>0 and a > 0.

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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: (a) By making appropriate use of Jordan's lemma, find the Fourier transform of T³ f(x) = (x² + 1)²*

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

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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 the Fourier expansion of the periodic function shown below f(x) = = sinx - n< x < T

A: we have to find the Fourier series of

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: Find the Fourier approximation of the specified order of the function on the interval [0, 2n]. f(x)…

A: Given function, fx=3π-3x To find the Fourier approximation on the interval 0, 2π.

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

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Q: Find the Fourier Transform F(w) = {e-at t≥0 t≤0

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

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Q: If f(x) has the Fourier transform F(p), then f(x) cos ax has the Fourier transform [F(p-a) + F(p +…

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Q: 4. Use the dilation principle to find the Laplace transform of 1- cos 5t cos t given L{- In g² +1 t

A: We want to find Laplace transform of 1 - cos5tt Given L1 - costt = 12lns2s2+1

Q: (b) Using Laplace transform, evaluate te -2t Cos 2t dt 0.

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