Choose the Laplace transform of the given function. 3 8 (t – 7) + 8 (t - ) sin (t) 3 e -IT S + e 2 TS 2 s2+1 3 -T S + e e O 3 e- H (t – T) + e¯H (t – 5) - ) 3 es-T + e

Q: 3. Determine the inverse Laplace transform of the given function. a) F(s) = 7 S b) F(s) = 4 S+2

A: The given problem is to find the Inverse Laplace Transform of the given function.Given function,…

Q: Laplace transform of (e-t sin? t) 1 2 (s + 1)(s² + 2s – 4) (s + 1)(s² + 2s + 5) DOption 1 O Option 2…

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Q: t, f(t) = 2t - 1, 0, 0 < t < 1 1 < t < 2 otherwise

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Q: (2) Find and draw the Fourier transform of f (t) = %3D 9+t2

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Q: Find the Laplace transform of f (t) = e-t(3 sinh 2t – 5 cosh 2t) 3-5s С. C: 52-2s-4 3-5s А. s2+2s-3…

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Q: Use the properties to find Fourier transform. f(t) -10 -5 5 10 t (ms)

A: The given curve can be approximated to:

Q: What is the Inverse Fourier transform of: F(w) =: 19(25-w2), (25+w)2 Your answer should be expressed…

A: Given Fourier transform function is: Fw=1925-w225+w22 let us try to bring above function in to a…

Q: a) make the Inverse Laplace Transform of the given function. Show all decals in detail and simplify…

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

Q: Determine the Fourier transform of the given function: t, 0 < t < 1 0<t<2 f(t) = 2t - 1, 0,…

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Q: What is the Inverse Fourier transform of: F(w)=, (w+6) Your answer should be expressed as a function…

A: To find inverse Fourier transform of Fw=-46+iw3 , we can use some standard Fourier transform…

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

A: Please post multiple questions separately, as per policy first question has been solved. The given…

Q: Q2-A) Find Inverse Fourier transform of f(t) +E+ + j10ws(w) 3+jw

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Q: 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f).…

A: We start with the time-domain signals and their Fourier transforms:Now, the convolution in the time…

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: 2s²+7 F(s) (s+1)(s+2)(s²+ 2s+5)

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Q: Find Laplace f(t) = t sin 2t + S transform of the function TU 2 cos 2t T 2

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Q: A Find the Laplace transform of each given function, all letters except t (and function names) are…

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Q: • Let: X₁ (jw) = 2nd(w) + nd(w − 4ñ) + ñ8(w + 4π) • Use the inverse Fourier Transform to find x₁(t)…

A: Introduction: Like other integral transformation, Fourier transformation has also its inverse. In…

Q: If the Fourier transform of f(t) = is F(w), express the Fourier transform of g(t) = 2 0<t<1 0…

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Q: Find the Laplace transform of the following function. That is, determine coefficient D f(t) =…

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Q: Part I. Find the Laplace Transform of the following: -2t_e-3t 1. ƒ (t) = 2. f(t) = 38(t) – 4u(t – 2)…

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Q: FIND THE INVERSE LAPLACE TRANSFORM WITH COMPLETE SOLUTION AND SKETCH THE GRAPH -25 se (5² +17²) ANS.…

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Q: f(t) = t² cos 6t 2s(108-s2) 2s(s²-108) А. (s2-36)3 C. (s2-36)3 2s(108-s?) В. (s2+36)3 2s(s?-108) D.…

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Q: 9-12s-4s2 C. (s2+4)2 +12s-2s2 (s2+4)2 9+12s-4s? D. (s2+4)3 -12s-2s? (s2+4)3

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Q: Find the Fourier transform of f(t) = {, t 0 12e-t O 2/(1+jw) O 1/(1+jw) O -1(1+jw) O -2/(1+jw)

A: We have to find the Fourier transform.

Q: Determine the magnitude of the Fourier transform of the function 7.5e-3t u(t) for a frequency of 3…

A: We have to Determine the magnitude of the Fourier transform of the function 7.5e^(3t )u(t) for a…

Q: If F(p) is the complex Fourier transform of f(x), then complex Fourier transform of f(x-a) is…

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Q: 2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10 26 – s? - a) s(s? + 4s + 13)

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Q: sin(t + a) cos(t + a) 3 dt 8. f(t) = e 2t 0.

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Q: Determine the Fourier transform of the function f(t) = e-cltl.

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Q: Find the inverse Transform F (6) = 6s s?+25 3. s²+25 S + 2

A: Note the result :

Q: 3. Find the inverse Laplace transform of the function (a - B)2 2(a - B)3 (s - a)(s – B)3 a - B F(s)…

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Q: 6 = (2) Find and draw the Fourier transform of f(t) = 9+t²

A: We have to find the Fourier transform..To find this we using cauchy residue theorem