find the LaPlace Transform, L{f (t)}, the given f (t). f(t) = t cosh 3t s2 s2- 9 s²+ 9 s2 А. (s² – 9)2 В. (s²+ 9)² С. (s2 – 9)2 D. s2 E. None 9.

Q: f(t) = t cos 4t 8s 8s А. (s2-16)2 C. (s2+16)2 s2 +16 В. (s² –16)² s2-16 D. (s2+16)2

A: We have to find the Laplace transformation of ft=tcos4t

Q: (2) Find and draw the Fourier transform of f (t) = %3D 9+t2

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Q: F(s) f(t); t= 0 A.0 B.9| s2 + 9s + 6 2. s3 + 4s² + 3s С.2 D. 1 Е.4

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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: 2. F(s): = 3s² +5s-4 S4

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Q: a of the following juncions. s- 1 (b))F(s)% = %3D 2s2 -8 s + 11

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Q: L[3t³e=3tcos2t]

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Q1: Find inverse Laplace transform of the following functions s+12 6) F(s) = s2+4s

A: Given function is F(s)=(s+12)/(s^2 +4s)

Q: f(t) = 2t² + 4t – 3 4+2s-3s? А. c 4+4s-3s? С. s3 2+2s-3s2 В. 2+4s-3s2 D. s3

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Q: 10. Find the Laplace transform of f Ct)= t sin 4t cos t• 58 C. 852 (s?+16)3 45 b. 4s2 do 3 (s?+I6)°

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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: Find the Laplace transform, h (t) = cosh? t s2 +4 s(s2 -4) s2 -2 s(s² –4) O s?+2 s(s? -2) O s? -2…

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Q: f(t) = t sinh 5t 5s 5s С. (s2+25)2 А. (s2-25)2 10s 10s В. (s2-25)2 D.- (s2+25)2

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Q: Find the Laplace transform of f (t) = t2 cos t 53-s А. (s2+1)4 253-4s С. (s2 +1)4 2s3-6s B. 2s3 +4s…

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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: Q2. Fine the inverse of two Laplace transform for follo a. L-1 3S3+3S² + S S²+S-6

A: The given problem is to find the Inverse Laplace transform of the given function. Given function,…

Q: Calculate the solution to the differential equation dy = 2e- with y(0) = 1. dz

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Q: L-12s +3 l(s+1)=S*

A: Given: L-12s+3s+12

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: f(t) = t sinh 5t 5s 5s А. (s2-25)2 С. (s2 +25)2 10s 10s В. (s2-25)2 D. (s2 +25)2

A: We find the Laplace transform of  f(t)=tsinh(5t)

Q: F(s)- Find the Laplace transform of f(t)-6step (t-2)+5step (-3)+1 step (-6)

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Q: t2 t 6. [34] Find the Laplace transform of f(t) 2t – 8 te-2t

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Q: 3s+1 F(s) = s2 +4

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Q: Q2. Find the inverse Laplace transform of, s2+2s+3 F (s) = (s+1)3

A: I have solved using partial fraction

Q: (1. Obtain the laplace transform of f(t)= e*cos 15t. a. St7 C. (s+7)? +225 (s+7) (s?+ 225) S-7 b. d.…

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