Find the Fourier transform for S(2)%3D sin a, 2 0.

Q: Find the Laplace transform of cos 5t

A: To find the Laplace transform of cos 5t.

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: y" + 4y' + 3y = x² Solve this equation using Laplace transform

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Q: Find Laplace transform of x(t)=t (cos)^2 (wt)u(-2t). *

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Q: f(t) = 3e " cosh (In 21)

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Q: Find Fourier transform of i 1x ka f(x) = 1₁ 0 Ixl ya Then find: 05- Sin Pa Cospx dp , P of M.H sin…

A: Fourier transform of the function and deduce the given definite Integral

Q: Find the Laplace transform of cos2t.

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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: (1- cos 2wt) where w is a positive constant WHAT IS THE LAPLACE TRANSFORM OF THIS?

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Q: 1. Find the Fourier transform of this rectangular pulse X (w) and show that sin πωτ X(w) = A² 2.…

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

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Q: Find the Laplace transform of e3t sin22t.

A: Find the laplace transform of e3t sin22t

Q: So (sinh (-2t)e¯') u(t)

A: We shall find the Laplace transform of∫0tsinh-2te-tutdt that is L∫0tsinh-2te-tutdt First Shifting…

Q: (1) = -e* sin (21 +n)

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Q: f(t) = 2t + 5et – sin 5t -

A: Given:  ft=2t3+5e4t-sin 5t To Find: The Laplace transform

Q: Question included in image

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Q: In a equation, f(x) = 3 sin 3x - 2e-2x Calculate the Laplace transform

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Q: Find the Laplace transform of 4 sin(3t)+2 cos(9t).

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: f(c) = e-3csin(2c)cos(2c)

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Q: Determine the Laplace Transform of cos*t

A: cos3t≡(cost)(cos2 t) cos3t=cos(1−sin2 t) cos3t=cost⋅1/2(1+cos2t)…

Q: ii) using the Fourier Transforms, Calculate dx. Jo (4x*)(9+x*)'

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Q: e-t(cos 4t – 2 sin 4t)

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

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

A: Given function is,

Q: Find the inverse Fourier transform of the function 10 sin(3) w+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: Solve X'= %3D 1 2. 人 2. Given use %3D -2-2 Laplace TransForm OF A to Compute At.

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Q: Determine the Laplace Transform of e 12 cos v 7t + sinV5 - 3

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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 Fourier transform of A(t/4) (a) sinc²(w/4) (b) sinc (w/2) (c) sinc (w) (d) sinc2(2w) O (a)…

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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 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: Solve the laplace transform of f(t) = sin (10t). Hint: You may convert the given to whichever form…

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Q: y Ct) = 5€ - 2t Cos 6t

A: Use the following 1.L{cos at}=ss2+a22.If L{f(t)}=F(s)Then L{eatf(t)}=F(s-a)

Q: (c) Skctch x(t) = rect(2t)and solve for X(W). (d) Determine the Fourier Transform for x(t) in Figure…

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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: Find the Laplace transform of: 1. f(t) = e(3t-7) cos (6t)

A: Laplace transform is the integral transform of the given derivative function with real variable t to…

Q: Find the Laplace Transform of: e-2t sin2t + e3tt2 3t +2

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Q: xsinmx dx 1+x? Find the fourier sine transform of e*and hence evaluate

A: Here, we have to find the fourier sine transform of a given function. Let say that function be f(x).…

Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

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Q: Find the Laplace transform of sin 21, 0<t < 2n S(): 0, 12 2n

A: we have given the function f(t) = sin2t,  0≤t≤2π   0,          t≥2π we have to find the Laplace…

Q: Find the Laplace transform of e2t sin 5t.

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Q: x(t) 2 -1 -1 1 -2

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Q: L(sin 2t cos 2t)

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Q: +5s, The inverse Laplace transform of is 1 1 5 5 f(t) = S sin 5t - sin

A: It is required to find inverse Laplace transform of L-11s3+5s. That is, L-11s3+5s=L-11ss2+5 Here…

Q: Find the Laplace transform of the equation. a and b are constant.

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Q: Use the Laplace transform to solve the given problem: 3-5y = 0 dx

A: From table of Laplace table,

Q: Find the Fourier Transform of Seizt -1<t<1 f(t) = = 0 elsewhere

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Q: Find the fourier transform of f(t) = e-2(t+4)ʻ sin (nt).

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