a)find fourier transformation f(x)=x in range (0,10L) b) find fourier transformaion Slx) in range_3 <(3

Q: Find the inverse transform of the equation below. R(s) = (S+7) / (s^2-3s-10)

A: We have to find inverse transform of R(s).  Firstly by partial fraction simplify the fraction,  Then…

Q: (s) = (1-3s) / (s^2+8s+21) A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^ B…

A:

Q: Find the Fourier Transforms of the indicated function: f (x) = cos x e−x^2/2

A: The given problem is to find the Fourier transform of the given function. Given function, f(x) =…

Q: Given: Pu The given boundary value problem is a² и (0, г) %3 dx2 0, t> 0, и (х, 0) —D f (x) and ди…

A: Given boundary value problem is a2∂2u∂x2=∂2u∂t2                       (i) With boundary conditions…

Q: 8(x – a) + 8(x + a)

A: Topic:- calculus

Q: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

Q: Find the inverse Lapace Transform    L^(-1) {1/[(s^2 +9)^2]}

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Q: Z=5-2(i^1/2) Find modul [z] Arg [z]

A:

Q: Evaluate the inverse Laplace transform L^-1 { (1 + e^-2s)^2 / (s + 2) }

A: Solution

Q: f(x) = { ; ا 0 (01-) (...) mle -|

A: In this question, we have given a graph of f(x). To write the Fourier transform corresponding to the…

Q: Flw) = Sinlw) e?Jw o.5W

A: Given function is: Fω=sinω0.5ωe-2jω or Fω=2sinωωe-2jω The standard inverse Fourier transform…

Q: Need typed solution Find the Fourier sine and cosine transform of the function  x^(m-1).

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Q: Determine the inverse Laplace transform of F(s) %3D O le^(9t)] - [5e^(4t)] O le^(9t)] + [5e^(4t)] O…

A:

Q: Determine the inverse Laplace transform of F(s) = ¹/₂- O [e^(-9t)] - [5e^(-4t)] [e^(9t)] - [5e^(4t)]…

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Q: QI\ Find Fourier transform for: A) f(t) = U(t)sin² (3t) C) f(t) = elct sinh(bt)

A: (A)Given the function f(t)=u(t)sin2⁡(3t).Rewriting, .We know that, .The Fourier transform of f(t) is…

Q: f(x) = cos(T.x)+ sin(27x).

A:

Q: Find the inverse Laplace transform f(t)=L^(−1){F(s)} of the function…

A: Consider the provided function,

Q: I don't understand why the four transform F{(a/sqrt(pi))*e^-a^2*x^2)}=e^-alpha^2/4a^2. Can you…

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Q: Find the Laplace transform g(t)={0  0≤t<5 ;(t-5)^2 t≥5 A. (e ^ (- 5s))/(s ^ 3) B. (2e ^8s)/(s ^…

A: Solution:

Q: find 2d Fourier transform of e^(-4pi*(x^2+y^2)) the answer is e^(-pi(x^2+y^2)/2) why?

A: Find the 2d Fourier transform of the given function and the 2D transform of f is defined by the…

Q: Prove that the function n = x(x^2 - 3y ^2)+ (x^2 - y^2) + 2xy is harmonic. Also find the conjugate…

A: Then,     and Thus,   and , it follows  that .Hence, the  given function is harmonic.(Proved)…

Q: Find the complex remainder of the function: f(z)= 2z^4(3z+5)e^(3/z^3) Remember that: e ^ u = 1+ 1/1!…

A: We know that the residue of a complex function is also known as the remainder of the function. We…

Q: 2. Compute the Fourier Transform of f(x) = e¬ax²

A:

Q: Find the inverse transform of the equation below. V(s) = (1-3s) / (s^2+8s+21)

A: Here we have to use inverse laplace transformation table  b(s-a)2+b2-&gt;ea tsin(bt)       and…

Q: Determine if the set {sin^2(x),1-cos(2x)} is linearly dependent or linearly independent on I =…

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Q: Determine the inverse Laplace transform of F(s) =+ O le^(-9t)] + [5e^(-4t)] ● (e^(9t)] + [Se^(4t O…

A: Given Fs=1s-9+5s-4 To find the inverse Laplace Transform.

Q: Find the inverse Laplace transform of the function F(s)= (s- 4)e^-3s/(s^3 + 4s)

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Q: Find the linearization L(x) of the function at a. f(x) = x^4/5, a = 32

A: Given data: Function: f(x)=x45 a=32