Find the Laplace Transform of h(t) =t² sin(2t) 4s2 –3 A H (s) (s²– 4) 3 3s2 – 4 (B) H (s) = (s²+4) 2 12s2 – 16 H (s) (s²+4) 3 12s2+ 16 D H(s) (s – 4) 3

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: Find the Laplace Transform of h (t) = t2 e-3t (*+3)" 4. (8+3) (8-3)" (s13)"

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Q: 1) f(t) = e3t+ sin²t +6 cosh /7t -3t²

A: We'll answer the first question since the exact one wasn't specified.  Please submit a new question…

Q: f(t) = te3t cosh 4t s²-6s+7 s2-6s-7 А. (s2-6s+25)2 С. C. (s2-6s-25)2 s2-6s+25 В. (s2-6s-7)2 s2…

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Q: Find the Laplace transform of the equation: y′′−4y=sin2t when y(0)=0, y′(0)=2 choices: a.)…

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Q: Find the inverse Laplace transform of: 1 1+2s (a) (b) s+7 - 2 s+4 (c) (d) s' +6s +10 s' + 2s +5

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Q: 5s + 7 (s + 2)2 A. f(t) = e-2t (5+ 7t) C. f (t) = e-2* (5 – 7t) B. f(t) = e-2t (5 + 3t) D. f(t) =…

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Q: 1 1 s? +4 s -4 (s+3)

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Q: Find the Laplace transform of f(t) = cos(2t) + 7 sin(2t). s+1 s2+4 _s+14 g2+14 s-14 s2+4 s+14 s2+4

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Q: 29. 29. Find inverse Laplace transform of 1 (a) g2 — 38 + 2 )b( - 1 s3(s+1)

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Q: f(t) = 1²e-³1 cos 4t F(s) = F (s) = O O F (S) = F (s) = F (s) = 2s³ + 16s² 46s - 234 (s² + 6s+25)³…

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Q: Determine the Laplace transform of f(t) = e-3t sinh (2t) 2 s2 + 6s +5 s2 – 6s+5 s² + 6s+5 s2 – 6s +…

A: Use the following formulas to perform the Laplace transformation.  Leatft=Fs-aLsinhat=as2-a2

Q: Transform: F (s) 18-16 s²-08-13 Of(t) = 4e 3 sin2t – 4e-3t 31 cos2t O f(t) = 4e³t cos2t 4c sin2t O…

A: Given: F(s)=4s-16s2-6s+13 To find the inverse Laplace transform.

Q: 2s2 +13s+6 Find the inverse Laplace transform of H(s) = (s+2)2(s-1) assuming that a) h(t) is causal…

A: We will find out the required inverse Laplace transform of H(s)

Q: t is the Laplace transform of f(t) = e"cos3t, 1 3 s-5 s2 + 9 (s - 5)2 + 9

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Q: 10(2s+5) 6. Find the inverse Laplace transform of I(s) and find s2+3s+2 I(s) when s= 0.1 sec.

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Q: Find the Laplace Transform of h(t) = t? sin(2t) 12s?– 16 A H(s) (s²+4) 3 48² – 3 B H(s) (s² – 4) 3…

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Q: 3s² +5s+5 F(s) = (s3+8s²+19s+12)(s³)

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Q: Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

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Q: 2) find the fourier transform x(t) = u(t) x(t) ulzt) x²(t) = u(+ + 5) -

A: xt=utxt=u2txt=ut+5xt=ute-jw0t

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: 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: Find the inverse Laplace transform: 1-3s F(s) = s²+2s +5 O a. 3/2+e-[(3/2) cos 21 - (9/2) sin 21]…

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Q: Find the Laplace transform of f(t) (r³e") dt = 6 (s - 4)4 3 s(s- 4)4 (s – 4)4 s(s – 4)4

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Q: Find the Laplace transform of f (t) = te2t sin 6t 12s+24 |(s)²+36 12s-24 2 (s-2)° +36| 12s…

A: Correct ans is =option B

Q: t2, 0 2

A: We have to find the Laplace transform of the given function.

Q: Find the Laplace Transform of f(t) = t e2t sin3t 6(s+2) F (s) ( (s+2) ² – 9) 2 A %3D 6(s– 2) F (s) =…

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Q: Compute eigenvalues and eigenvectors for the matrix: GJ O λι = ί λ = - 31 = A₁ = 1 A₂ = -1 --0--0 =…

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Q: Solve for the Laplace Transform of f(t) = tsinh 2t a. F(s) = + %3D (s-4) (s+4) b. F(s) = 0-4) %3D…

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Q: 11: The Laplace transform of the function f(x) = xe4* is a) 1/(s – 4)2 b) 1/(s + 4)? c) 1/(s – 2)4…

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Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

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Q: 7/2 Q5:-(3t°-2t* – te 3sin 6t +4 cos 4t)eC + t e3t -St As 360 48 (S-2)5 (s-2)5 18 (s-2)²+36 4(S-2)…

A: Answer of question (i) has  typing error