The Laplace transform of f (t) = e-3t cos(2t)+2te3t is: 1 F(s) = F(s) = %3D s2-4s+53 s2-6s+9 s2 +4s+4 s2-6s+34 O This option This option 21 7 1. F(s): F(s) = %3D s2+65+13 s2-6s+9 s2-4s+53 s+6s+9

Q: 1- Find the Laplace transform for these functions (a)f(t) = e3t + 8 (b) f(t) = cos(6t) + 7sin(2t)…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The Laplace transform off (t) = {', ´1 0<t<2 is: t2 2 1-2e -2s F(s) = F(s): 4-8e-2s F(s) = This…

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Q: The Laplace transform of -5t, Select one: O F(s) 3e-5(s+2) s+2 F(s) = 3e-2s S O F(s) 3e-2s+5 s+5

A: Formula Used: 1) L{ect g(t)}=G(s-c)2) L{u(t-c)}=e-css

Q: What is the Laplace transform of f(t) = t3 – 5e-2t +2cos7t? 6. 2s + s4 s+2 s2 + 49 2 B s4 s2 + 49…

A: The given function is                                     f(t)=t3-5e-2t+2 cos7t To find the Laplace…

Q: 1) Find the inverse Laplace transform of the following: a) L-1 s+1 ans:A = , B=- e* -e s2-7s+6. 5' 5…

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Q: 22. Find the Laplace Transform of 2t*e3t 48 a. (s-3) 4(s-3) b. s2-6s+34 C. none of these

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Q: Find the Laplace Transform of the piecewise function. (2 ,0<t<4; w(t) = { í 1? ,t 4. O 252+e-48…

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Q: Which of the following is the expression to be ob tained when the Laplace transform is applied to…

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Q: If y " +2y + 2y = 3t2. y (0) = 0, y' (0) = 2, what is the Laplace transform of y? 6. s3 (s2+2s+2) 6.…

A: Solved belo

Q: Find the inverse Laplace transform of 6e-1s + le-3s + 3e-5s + 2e¬8s F(s) = . (Use step(t-c) for…

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Q: 3.15 - Find the inverser Laplace transform of the following functions: 5e-2s d. G(s) = (s+1)(s²+s+1)…

A: Solution is given below:

Q: The Laplace transform of f (t) = 5cos (7t)- 7e2t + 2t3 is: %3D 7 5s 7. F(s) = F(s): %3D - %3D s2+4…

A: Given f(t) =5cos(7t)-7e2t+2t3 Laplace transform of cos(at) = s2/(s2+a2)…

Q: Find the Laplace Transform of cos(2t) + 7sin(2t) s – 14 A s2+2 14 B s2+4 $2 – 4 s+ 14 s²+4 14 D s2+4…

A: Given f(t) = cos(2t) + 7sin(2t)

Q: Find the inverse Laplace Transform of 3(S-1) A. 3(cost + sint) B. (S-1)²+1 3s s²-2s+2 C. 3(S-1)…

A: We will use table of Laplace transform

Q: Find the inverse Laplace transform of F(s)= -7s 4s +7 (s - 4) – 21 (s+1)(2s + 3)(3s +5)

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 7s – 3 s2 – 4 - Find the inverse Laplace transform of F(s) 17 f(t) : 11 + 4 -21 11 +- 4 17 17 f(t) =…

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Q: 3s Find the Inverse Laplace Transform of s2+4s+ 13 (А) -2° ( 3sin3t+2cos3t) B e" (3cos2t – 2sin2t)…

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Q: The Laplace transform of f (t) = 5cos (7t) – 7e2t + 2t³ is: %3D | Ss F(s) = F(s) =D ++을 - %3D s2 +49…

A: Basics of Laplace Transformation.

Q: The Laplace transform of f(t) = et-3 cos(2t – 6) u(t – 3) + e-2t(cos(2t) – 1)

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Q: What is the Laplace transform, Y(s) for 3y" + 2y'-y 5 where y(0) = y'(0) = 0? %3D a. (3s-1)(#+1) b.…

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Q: The Laplace transform of f (t) = e-3* cos(2t) + 2te is: s+3 2 F(s) F(s) $2+6s+13 s2-6s+9 s2-65+34…

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Q: The Laplace transform of f (t) = e -3t cos(2t) + 2te3t is: s+3 2 F(s) F(s) = s2-6s+34 s2 +4s+4…

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Q: The Laplace transform of f(t) = 5cos (7t) – 7e2t + 2t³ is: F(s) =++ Ss 9. F(s) = s2+49 $2+4 s+3 s-2…

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Q: 1) Find the inverse Laplace transform of the following: s+1 а) L-1 [s²-7s+6) ans: A = B=- 7 | 5' 5…

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Q: Obtain the inverse Laplace transform: 4s+4 s2 (s-2) O exp(2t) -3 - 2 cos t O 5exp(2t) -3 - 2 sin t O…

A: Let f(t) be a function of t defined for all positive values of t. Then the Laplace transform of…

Q: Find the Laplace transform of 6e5tcos2t - e7 6(s – 5) 1 (A (s – 5)2+4 s- 7 B s2+4 s- 7 (s – 5) 1 (s…

A: For the solution of the problem follow the next step.

Q: The Laplace transform of f (t) = e-3t cos(2t) + 2te3t is: 5 1 F(s) s²-6s+34 s2+4s+4 This option s+3…

A: Last option is correct answer . Thankyou !

Q: Which of the following is the expression to be ob tained when the Laplace transform is applied to…

A: We are given the differential equation :  2y''-3y'-2y=te2t Applying Laplace transform to both the…

Q: Find the inverse Laplace transform e-2s s2 - 4 1 z42sinh2(t – 2) sinh2(t – 2) 1 z42cosh2(1 – 2) 1…

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Q: 5. Determine the Laplace Transform of te2t cos5t s2-2s+11 a. (s²+4s–29)² s2+2s+21 b. (s2+4s+13)2…

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Q: If y " +2y + 2y = 3t2, y (0) = 0, y (0) = 2, what is the Laplace transform of y? 2 s2+2s+2 s° (s²…

A: Given:y''+2y'+2y=3 t2, y(0)=0, y'(0)=2

Q: Find the Laplace Transform of e 2 cos3t + 5e 2 sin3t - s+2 + s2+9 15 A. g²+9 (s+2) + 15 (s2+4s) + 13…

A: To find the laplace transform of given function first we will use the linearity property of laplace…

Q: -3t The Laplace transform of f(t) = e¯3" cos(2t) + 2te" is: F(s): S+3 2. F(s) = -4s+53-6s+9 2461+13…

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Q: 22. Find the Laplace Transform of 2t*e3t 48 a. (s-3)5 4(s-3) b. s2-6s+34 С. попе оf these

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Q: Find the inverse Laplace transform of 3s+2 F(s) = s2-3s+2 OA e+8e2t O B.-5e-t+8e2t OC.- Ste'+ 8e O…

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Q: The inverse Laplace transform of F (s) 5s+2 -is s2 (s² –1) %3D □-5-2t+ 특 + 7e 3e 2 3e t O -5 + 2t +…

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Q: Find the inverse Laplace transform of F (s) = 5s+2 %3D s² (s²–1) Of (t) = 5 – 2t - že' +e Of (t) =…

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Q: Evaluate the given Laplace transform. L(3t² cos(t)} 6(s³ - 3s) a. (s² + 1)² (s³-3s) b. (s² + 1)³ C.…

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Q: 3s+7 B. Find the inverse Laplace transform of F(s) = s(s+1)(s-3)

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Q: 2. Determine the Laplace transform of f(t)=teªsin(3t) s-4 а. (s2-3s+5)? 6s-12 b. (s2-2s-6)2 s-4 C.…

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Q: The Laplace transform of f (t) = {, 0 st<2 is: t 2 1-2e-2s 25 F(s) = F(s) = 4-8e O This option O…

A: Using laplace transform integration 0 to infinity e^(-st)f(t)dt

Q: What is the Laplace Transform of f(t) = 3t + 4 ? A. 4/s² + 3/s C. 3/s² + 4/s B. 3/s² - 4/s D. 4/s² -…

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Q: Find the Laplace Transform of the piecewise function. 2 ,0<t< 4; w(t) = { 2 ,t2 4. 2s²+e-1$ (2+…

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Q: 20. The inverse Laplace transform of is 100 (s + 10) (s+20) F(s) = a. f(t) = 10e10t + 20e-20t b.…

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Q: { 5s L~1 (s²+1)², L-1{. (s²+4s+8. s+4

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Q: The Laplace transform of e-3r e2(1=t) dt is Select one: 1 (s + 3)(s – 2) None of these 1 (s + 2)(s +…

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Q: Find the Laplace Transform of the functions e -2" (cost + 3 sin t) s + 5 s2 + 4s + 5 8 - 2 3 (s –…

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Q: Find the Laplace Transform of cos(2t) + 7sin(2t) S- 14 A s2+2 14 s2+4 s2–4 14 s2+4 s2+4 s+ 14 s2+4

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Q: Determine the Inverse Laplace transform for 5s + 2 C-¹{² +65 +13) 1- f(t)= 5e³ sin 3t+ 13 e³ cos 3t…

A: Given problem:-