Evaluate the Laplace transform of the following function f(t) = 3sin2t – 4cos5t 1 O a. F(s) s2 + 4 s2 + 25 4s O b. F(s) s + 4 8 + 25 2 4s O C F(s) s2 + 2 s2 +5 4s o d. F(8) s2 + 4 82 + 25

Q: Find the Laplace Transform of f(t) = (t² – 3)² O 9s4-125-24 O 9s*+12²+24 O 9s4-12s+24 O 9s4-12,+24

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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: Find the inverse Laplace transform of F(s) 4 S-2 + 7s - 18 s² +9

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Q: Find the inverse Laplace Transform of: 11 5s 3 1 F(s) s2 + 3 s2 + 9' 5s – 7 s4

A: Use the formulas below to calculate the inverse Laplace transform.

Q: F(s) = 1 (s²+4) (s²+4s+8)

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Q: Find the Laplace transform of f (t) = e-t(3 sinh 2t – 5 cosh 2t) 3-5s С. C: 52-2s-4 3-5s А. s2+2s-3…

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Q: a. Find the inverse transform of F(s). b. Sketch the graph of f(t). c. What is f(1.5) d. What is…

A: We have given F(s) = 2s-3e-ss2+4e-2ss2. If L{f(t)} = F(s) then L-1{e-asF(s)} = u(t - a)f(t - a),…

Q: 1 F(s) = (8 – 1)2 – 2 1 F(s) (s – 1)(s +1)²´ 3s +1 F(s) = (s² -- 2s)²*

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Q: f (t) = 3u (t) + f(t-2) + 8 (t-s) -4 (t-7) odi as doum as gitiow oviteorOD Joubord

A: Let's find.

Q: f(t) = t5et 120 А. (s-4)6 24 C. (s-5)6 120 В. (s-4)5 24 D. (s-5)5

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Q: Find the Laplace transform of the following function. That is, determine coefficient H -5t f(t) = 6e…

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Q: Find the Laplace transform of the function f(t)= (5e/t+4t)using the table of known as2+bs+c…

A: We first find Laplace transform and then comparing we find the value of c.

Q: The Laplace transform of the function f(t)= e 2t+2t4 is L {f(t)} = Select one: O True O False Give…

A: Use the standard formula for the Laplace transform of the given function and simplify.

Q: Find the laplace transform of the following function f(t)= 2-3u(t-2)+u(t-3)

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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: f(t) = e3t + cos(6t) – e3t cos(6t) As4 + Bs3 + Cs² + Ds + E F(s) Fs5 + Gs4 + Hs3 + Is² + Js + K

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

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Q: Find the inverse transform of the given functions: 3s2+5s+5 1. F(s): (s3+8s2+19s+12)(s³) 2. F(s):…

A: You post more than 1 questions with 2-subparts, as per our guideline we can solve only first…

Q: f(t) = t² cos 6t 2s(108-s2) 2s(s²-108) А. (s2-36)3 C. (s2-36)3 2s(108-s?) В. (s2+36)3 2s(s?-108) D.…

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Q: Q)find the inverse Laplace transform 2p L-1 - (p² + 1)²) 2) r (m[1+) In

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Q: Laplace transform of t cos at s² + a² S (s2 – a?)2 (s² – a²)2 | | O Option 1 O Option 2 s² – a? (s2…

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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: 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: 6. Find the inverse Laplace transform of the function (B² – a²)(as + b) (s² + a²)(s² + B²)" I(s) =

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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: Evaluate the Laplace transform of the following function. f(t) = 3sin2t – 4cos5t

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Q: Find the inverse Laplace transform of F(s) = f(t) = -2s+6 s2 +48 +8

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Q: f(t) = e3t + cos(6t) – est cos(6t) As4 + Bs3 + Cs² + Ds + E F(s) Fs5 + Gs4 + Hs3 + Is² + Js + K

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Q: 5s + 1 s2 – 7s + 12 F(s) =

A: To find: Inverse Laplace transform of F(s)=5s+1s2-7s+12.

Q: Evaluate the Inverse Laplace Transform: F(8) = 7 (s–1)*

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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: Q.2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10

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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: Find the Laplace transform of the following function. That is, determine coefficient I f (t) = 6e…

A: We first determine the Laplace transform of  f(t)=6e-5t+e3t+5t3-9. And form of F(s) is given. We…

Q: Find the Laplace transform of the following function. That is, determine coefficient G f(t) = 6e F…

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Q: f(t) = ekt [cosh(2kt) – H(t – a)(t – b)] %3D

A: The solution is given as

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

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