Find the Laplace transform of f(t) = t?sin (t) 4s + (s² + 1)°' (s² + 1)? (s² + 8s? 2 (s? + 1) (s² + 1)? 4s2 2s (s? + 1)° ' (s² + 1)² 8s2 + 2 (s? + 1) (s² + 1)² +

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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: 2s +3 Find the Inverse Laplace Transform of F (s) s²+4s+ 13 A f (t) = 2sin3t – -cos3t 3 B f (t) = e'…

A: Use Laplace table.

Q: (28x if |x|1* Find the Fourier transform of (x) = { %3D

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Q: ft) = cos 2t + sin 2t + cosh 2t + sinh 2t 2s? (s+2) А. (s2 +4)(s2 -4) 2s? (s-2) С. (s2 +4)(s2 -4)…

A: We find the Laplace Transform of  f(t)=cos(2t)+sin(2t)+cosh(2t)+sinh(2t).

Q: 7. F(t) = [sin (t -) - cos (t -)u (t -) | 8. F(t) = 8 sin cos t 9. F(t) = cos cos (; – bt) - bt), b…

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Q: Find the inverse Laplace transform of F (s) 4 F(s) = s²+12 s+52 a. f(t) = e-6 (6 sen(4 t)+cos(4 t)…

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Q: 2(+-3) cos (t-3) y ct) : Sin 2t cos 34

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Q: cos x, 0 a

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

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Q: 1] Evaluate (a) -S (s²+1) ² {t sin (b) S 1/2 5² (s² +¹)² (d) S

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Q: F(t)= t2 sin2t u(t)   F(s)= ?   laplace transform

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Q: c) Use a pair (table) to findz-transform of x(n) = 20.65 √2 cos((-)n-1.415)u(n)

A: Introduction: There are many properties that are followed by Z-transformation. It helps us to…

Q: Find Laplace transform of the function f(t) = cos(2t + 3)+e¬'u(t – 4) + tcosh²2t

A: Use the following formulas while calculating the Laplace transform of the given function.…

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.

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Q: Find the Laplace transform of f(t) = 4 + 3t – 5t² — 2(t-1) a. (6s²-s-10)/s³ b. (6s² + s-10)/s³ c.…

A: Here we have to find the Laplace transform.

Q: What is the Laplace transform, Y(s) for 3y" + 2y'-y 5 where y(0) = y'(0) = 0? %3D a. (3s-1)(#+1) b.…

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Q: Q3. (a) Consider the continuous function f(t)=sin(2xnt). i) What is the period of fſt)? ii) What is…

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Q: Laplace transform of x(t) = cos(4f)u(t) %3D 16 X (s) = s* +16 4 X (s) = s* +16 X(s)D s? +4 X(s) = s´…

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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

A:

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 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: 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: Example Find the Fourier transform of the rectangular pulse duration T and amplitude A T T SC) = 4…

A: The given problem is to find the Fourier transform for the given rectangular pulse function.

Q: 7. F(t) = cos?- sin? 2 8. F(t) = cos ( bt 9. F(t) = 8 sin- cos %3D

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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: 9.) The Inverse Laplace tra (A) In(s² - 2-3 (C) //e+ + 3/e³1

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Q: y -7y +10y= 9cost+7sint, 5, y =-4 2

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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: The population of a town grows at a rate proportional to the population present at time t. The…

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