QUESTION 4 Find the inverse Laplace transform of F(s) = s?(s+2) O A. Non of the O B. -3/4+3/2t+3/4e¬t O C. -3/4+3/2t+3/4e¬4t D. -3/4+3/2t+ 3/4e-2t O E. -3/4+1/2t+3/4et OF. -3/4+1/2t+ 3/4e-4 above.

Q: 3. Determine the inverse Laplace transform of the given function. a) F(s) = 7 S b) F(s) = 4 S+2

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

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: 1 s2 + as

A: We will find out the required value.

Q: Q.1) Find the Laplace transform of the following: a) f (1)=3sin2 21 b) f (1)=3 +° c) f (1)=2cos2t…

A: To solve the following problem we will use the standered result of laplase transformation

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: Laplace transform of t² sin2t. [12s²-16] [2323 .(s²+4)². 35²-4 [(s²+4)³. [12s²-16 .(s²+4)6 O [12…

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Q: 3- What is the Laplace transform of each of the functions shown in Fig. 1. f(1) 4 f(1) A с K b 0 a…

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Q: 3. a. es ¸²-²5 S Find the inverse Laplace transform of each of the following functions. 5s² - 3s +31…

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Q: 2s2 + 5s – 4 3. s3 + s² – 2s -

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Q: 1 Find the inverse transform: F(s) s2-4s+8 1 A. e2t sin 2t C.e2t cos 2t B. e2t sin 2t D. e2t cos 2t

A: The solution of the problem is given in the next step.

Q: 2s2+5s-4 Find the inverse transform: F(s) s3+s2-2s A. 2 – et – 2e-2t C. 1+ 2et – e-2t B. 2 + et –…

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Q: L[3t³e=3t] а.

A: Since you have posted a multiple question according to guildlines I will solve first question(a) for…

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

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Q: B. Find an inverse transform for the following F (s). S 3. (s²+a²)(s²+b²) where a? + b² and ab # 0

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Q: 1: Find the Inverse Laplace Transform of: 2s+1 (a) s2 +9

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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: The inverse transform of * 1 2 4s8s O % e (exp -t) sinh t O % e (exp t) sinh t O 1/4 e (exp -t) cosh…

A: Solution:  Given,  14s2-8s = 14(s2-2s)                             =14(s2-2s+1)-4=14((s-1)2-1) Now,…

Q: 2s²+7 F(s) (s+1)(s+2)(s²+ 2s+5)

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Q: QUESTION 2 a) b) Use the properties of inverse Laplace transform to find: es +s+1 s²+2s-17 i) ii)…

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Q: 3.) +248 3s-16 s²-24s+69

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Q: Find the given inverse transform L .((무) + (+) - (주) } { s2 S-2 O t+1+e2t O t– 1– e2t O t+ e2t…

A: Given that L−11s2−1s+1s−2. We have to find the inverse Laplace transform. Use formula L−1n!sn+1=tn…

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: 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: (s-2) F(s) = [+ %3D (s-2)2 + 16

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Q: 3s-16 3.) s2-24s+69

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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: 12 + 2s – 5s2 s4 A. f(t) = 12t3 + 2t2 - 5t C. f(t) = 2t3 + t2-5t B. f(t) = 2t* + t3 - 5t2 D. f(t) =…

A: We have to find the Laplace transform of 12+2s-5s2s4

Q: Give the Laplace transform of 3x f(x): 0 <x and x < 3 -4 3 3x 3 2 + 2 -3s 4 F(s) = + e 3 -3s 15 3 10…

A: Option C is correct.

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: 2.) 98-8 s² +248

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Q: Find the Inverse Laplace Transform of each of the following: 1.) 42 9s-30 0 e

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Q: Find the Laplace transform F(s) = L {f(t)} of the function f(t) = 3e-10t + 9t + 5et, defined for t >…

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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