Apply the Convolution Theorem to determine the Laplace transform of : f (t)=[re-2" sin 3(t - t) dt 3 (s+2)°(s² +9) 3 (s – 2)°(s² +9) - 6s - (s +2)(s² + 9)² - 6s (s – 2)(s² +9)²

Q: -Jut X (t)e dt +the fourer hersferm bloå lul-2-4)+u (t-e).

A: Use the Fourier transform analysis equation to calculate the Fourier transforms of the given…

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: Find the Inverse Laplace Transform of: 3s + 1 (s² – s – 2)(s² – 4s + 13) F(s) ublic A ou to \rotecti…

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Q: The Laplace transform of f (t) = cos(2t) + 2e-3t + 3t² is: 4 F(s): s²+4 s+3 This option F(S) =D ++을…

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Q: Determine the Laplace transform of f(t) = 5sin 2t - 6t * cos 2t

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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: ind the laplace transform for the equation f (x) = 3e¯" 5 (A) s+3 5 B s – 3 3 s- 5 3 D s+5

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Q: f (1) = = cos 21 + 7 sin 2t s2 + 4 14 s2 +4 s+14 s2 + 14 s+14 s2 +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: L[3t³e=3tcos2t]

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

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

A: The given function is .The aim is to find the inverse Laplace transform of the function .Laplace…

Q: Determine the Laplace transform of f(t)=4e3t +2sin5t −7t3.

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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: 2. f(t) = e-at sin w tu(t) 3s+4 6. s2+9

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Q: Find the Laplace transform of  f(t)=-2u2(t)-3u3(t)+5u6(t)=......

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Q: Match the correct inverse laplace transform of the given function. 1-3s 5t 3 + 19e-2t A. s2 + 8s +21…

A: Solution:     1-33S2+83+21The inverse Laplace transformL-11-33S2+83+21=…

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: Find the Laplace transform of 4 sin(3t)+2 cos(9t).

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

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

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Q: nose Laplace (28+4) at t

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Q: Find the La Place transform of the function f(t) = t²e³t 2 (s-3)³ 2 (s-3)³ -2 (s+3)³ a. b. C. d. 2…

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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: Use Eq. 3-1 to show that the Laplace transform of (a) ebt sin wt is b) ebt kos wt is W (s+b)² +w² W…

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Q: f(t) = t? cos 6t 2s(108-s?) А. (s2 -36)3 2s(s? -108) C. (s2-36)3 2s(108-s2) В. (s2+36)3 2s(s?-108)…

A: Given function f(t)=t2cos6t. We have to find the Laplace Transform. Formula will use 1.…

Q: 2+5( jw) (jw)' +3( jw)–10 a- F(w)=-

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Q: Find the Laplace transform of f (t) = cos 2t +7 sin 2t O s+14 s2+14 14 s2+4 O s+14 s2+4 s2 +4

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Q: Find the Inverse Laplace transform of : 5s-2 s² (s+2) (S-1) a) b) S (s²+a²)(s²+b²)' a² # b², ab # 0

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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: 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: Calculate the Laplace transform L{f} of the function f(t) = et+2 8t° + 8 sin(2t) + 9 using the basic…

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Q: the laplace transform of f(t)=t'e2 is: Select one: a. (s-2)4 b. 2(s- 1) (5 - 1)2 +4 O C. NOTA d.…

A: As we already know that if L(f(t))=F(s), then Ltneat=n!(s-a)n+1

Q: Find the laplace transform of f(t) = e-3t cos nt s+3 82 -6z+9+7? 8-3 s +6x+9+n 8+3 s2 +6s+9+7 8-3 g2…

A: Solution

Q: 3. Find the inverse Laplace transform of the function (a - B)2 2(a - B)3 (s - a)(s – B)3 a - B F(s)…

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Q: f(t) = te3t cosh 4t s2-6s-7 А. (s2-6s+25)2 s2-6s+7 С. (s2-6s-25)2 s2-6s+25 3. (s2-6s-7)2 s2-6s-25 D.…

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Q: f(t) = 9t²u₁o(t) + 6(t - 5)³u6(t) - 12 sin (-1) us(t) 3 15

A: Some of the properties of the Laplace transform…

Q: The Laplace transform of t (sin 2t -cos 2t) is b. -S²+45+4 a. (S²+4)² S²+45-4 (S²+4)² S d. • (-²2)…

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