Find the Inverse Laplace Transform of the following functions A) 1 F(s) = Ans. f(t) =1-e s* +s 1( s-a В) F(s) — Ans. f(t) = 2 e*t – 1 sl s+ a 1 C) F(s) =- s+1 Ans. f(t) = 1+t- cos(t)– sin(t) s (s +1

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Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 F₁ (t) = −6(t + 2) +…

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Q: 5 The inverse Laplace transform of F(s) = 5² - 2s+5 1 f(t) = 5e²¹ sin 2t f(t) = 5e¹ sin 2t 5 f(t) =…

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Q: 1. Find the forier tansform of f(t) = 8(t) + 2e-3lt| %3D

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Q: 2. Find the Laplace transform of the following functions. (Use the table.) (a) g(t) = 2e“ + 21²e“

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Q: 1 Y(s) : s2 + 7s + 10 a. y(t) =(e-5t – e24) b. y(t) =(e-5t + e²') c. y(t) =(e5t - e-2t) d. y(t)…

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Q: [SK 23. Find the cosine transform of the function off(x), if f(x) = { CoS x, ) a

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Q: 1. Let f (-1,1) R, f(x) = (1+x³3)-3. Compute g': (0,1) → R where : (a) g(x) = få ƒ. 0 (b) g(x) = [ x…

A: To compute g′(x) using the formula for Differentiation Under the Integral Sign, we'll need to apply…