Find the Inverse Laplace Transform of the following functions t- a Ans. f(t)=- t> a A) F(s) = t< a (cos(2t) t> T se В) F(s) 3D Ans. f(t)= s? +4 elsewhere s+12 C) F(s) = Ans. f(t) = 3- 2e 1- 3sin(t)) s? + 4s

Q: a) Consider the following function f(t): cos 2t, 1() = { cos t, TM i. Express the function in terms…

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Q: Q.5A/Find Laplace Transform of the following functions 1.f(t) = 6e-6t + +5t3-9 2./(t) = (42marke)…

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Q: 2C

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Q: 2. Determine the inverse Laplace transform of F(s) F(s) = (25-18)/(s²+9))

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Q: d. Find the Laplace transform of f(t) = sin22t + cos22t + 1 ۵. 4/s b. 3/s 2/s 1/s ن d. 3t-5t²-2(t-

A: Given that the function ft=sin22t+cos22t+1

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: 2. Determine the Laplace transform of the given function a) f(t) = e³¹t4 b) f(t

A: Laplace transform

Q: Compute the Laplace transform. Your answer should be a function of the variable s L{3+ u(t)e sin(7…

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Q: Let F(s) be the Laplace transform of f(t) = cos (k(t – 7)] e" sin(37)dr, where k is a positive…

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Q: Apply Fourier transform, jw F(w) = F₁ (w) + F₂ (w)...... equation 2 |F₁(t) = −8(t + 2) +…

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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: 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 Inverse Laplace Transform of the following functions 3s? – 2s–1 (s- 3)(s² +1) A) F(s) =…

A: As Multiple Questions are given , I will solve the first one Only :   We are given…

Q: (s-2) F(s) = [+ %3D (s-2)2 + 16

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Q: Find the Inverse Laplace Transform of the following functions A) 1 F(s) = Ans. f(t) =1-e s* +s 1(…

A: The Laplace transform of the function f(t) is denoted by L(f(t)) or F(s) and defined as…

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: 2. Determine the Laplace transform of the given function. a) f(t) = e³¹t4 c) f(t) = est sin(3t) e)…

A: Recall the formula of Laplace transform: For any non-negative integers L{tn}=n!sn+1 .The property of…

Q: Find the Laplace Transform A- f)=tcos(@r) B- f(1)=tsin(@t) C- f(t)=tcosh(at)

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Q: Give the Laplace transform of 5 0Sx and x <I f(x) = -7 sin (2x) 2 +e 2 4 +4 b) O Fe)-+" ( 5 F(s) 7 5…

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Q: The question involves finding the inverse Fourier Transform of the following functions:

A: see the attachment given below for details.Explanation:

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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