)1–2و( 24s (s²+1)* If the Laplace Transform of F (t) t³ sin(t) is f (s) = what is the Laplace Transform of t3 e sin(t)? O 24s(s+1)(s+2) (s² –2s+2)* O 24(s–1)(s-2) (s2 –2s+2)* O 24s(s–1)(s-2) (s² –2s+2)* 24(8+1) (s?+28+2)3

Q: Find inverse Fourier transform of F(W) %3D W2-2W+3

A: A complex domain function can be transformed into a real-time function through the inverse Fourier…

Q: Let Rt) be the inverse Laplace transform of 7s2 + 15s – 6 F(s) = (s? + 6s + 10)(s – 2) What is 3/2)?

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Q: The Laplace transform of L[2 sin 6t sin 3t] is 2s s2 + (3)2 s2 + (9)² s + (3)² s2 + (9)² | s2 + (3)²…

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

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Q: Find the inverse transform of the given function of s. e-35 s s²+4 u,(t)cos2(r– 3) A ® (1-u,(1))…

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Q: 3 Find the inverse Laplace transform for (s-2)2+9 (a) e-2t sin3t (b) e2t sin3t (c) 3e-3t sin2t (d)…

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Q: Find the inverse Laplace Transform of F(s) 2s2 + s -3 F(s) = s4 +3s2 + 2

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Q: 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…

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Q: Find the Laplace transform of f(t) = sin² 5t a. 50/($³+125s) 25/(s³+ 100s) b. C. 25/(s³ + 125s) d.…

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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: 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: The Fourier transform of the function f(t) = 2e-2t cosh 2t u(t)is: 2 4 A- πδ (ω) B- πδ(ω )+ j2w+w?’…

A: We have to use formula for Fourier Transform.

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

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

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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: 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: 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: 3. Find the inverse Laplace transform. a) 8s2 − 4s + 12/s(s2 + 4)

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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: 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: 2s +3 Find the Inverse Laplace Transform of (s+4)3

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Q: Q5) a) Find Laplace transform of the function f (t) = cos(3t + 4) + e¬tu(t – 5) + tcosh²3t b) Find…

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Q: Let Lbe the Laplace transform. Find (- (s - 1)2 +4 A) + sin(2t) (B) + (sin t)e (C) + sin(2t) (D) +…

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Q: The Laplace transform of L[2 sin 5t sin 4t] is

A: Laplace transform can be solved by using trigonometric identities and Laplace transform of…

Q: Find the Inverse Laplace transform of F(s) = 8Bs 7C (s + 3) (s - 4) (As − 1)

A: