The Laplace transform of f(t) = e² cos2t is Select one: O a. s2+4 se? 52+4 2(s+2) (s+2)2+4 2 (s-2) O d. (s-2)2+4

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: The Laplace transform of f (t) = cos(2t) + 2e-3t + 3t² is:

A: Consider the given function: f(t)=cos(2t)+2e-3t+3t2

Q: The Laplace transform of f(t) = e² cos2t is Select one: 2 a. s2+4 Ob. 2(s+2) с. (s+2)2+4 2 (s-2)

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Q: The Laplace transform of f (t) ={, 0<t<2 is: t22 4-8e-2s F(s) = F(s) – 1-2e-2s O This option O This…

A:

Q: The Laplace transform of f (t) = { 4 0<t<2 is: t2 2 -4 1+2e-25 F(s) : %3D O This option 2+e-s F(s):…

A:

Q: The Laplace transform of f (t) = cos(2t) + 2e-3t + 3t? is: %3D

A: Note the following results : Lcos at=ss2+a2  Leat=1s-a Ltn=n!sn+1 ; n=1,2,3,…… Linearity property…

Q: The laplace transform of t cos 4t is A. s2-16/(s2+16)2 B. s2+16/(s2+16)2 C. s2/(s2+16)2 D.…

A: Here we will find out the Laplace transform.

Q: The Laplace transform for the function is -3 f(t) = sin² (5 t) 1/1 F(s) 2(s s2 + 25. a) 1/1 F(s) =…

A: The solution is given as

Q: The Laplace transform of f (t) = { 0St<2 is: t 2 4-8e 2s 2+e s %3D F(s)

A: here true option is (a) .

Q: The Laplace transform of (1-cosh 2r) is a) 2 b) 2 -+- 1 d) s-4 S S+4 S s+4

A:

Q: Find the Inverse Laplace transform of F(s) = (s+1)(s²-1)

A: The given function is Fs=1s+1s2-1 OR Fs=1s+1s+1s-1 To find the inverse Laplace transform of the…

Q: Find the inverse Laplace transform of F (s) 3. %3D s2 O 3t /3 -/3 /3

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Q: ) Find the Laplace transform of a) () = 3e- + 2 cos(t) – 5t/2 13. b) s(t) = t*e*

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Q: The Laplace transform of the 4e cos2t – et sin2tis Select one: 4s+2 O a. F(s) s2+2s+5 2s+2 O b. F(s)…

A:

Q: Find the inverse Laplace transform of 10 F(s) = s2 - 6s + 13 | 5e-3tsin2t 5e3tsin2t C 5e-3tcos2t D…

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Q: The Laplace Transform of f(t) = t°e* is No- (3) (금) F(s): Select one: O True O False

A: Solution

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: 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: f(c) = e-3csin(2c)cos(2c)

A:

Q: (a) Compute the Laplace transform of the following functions. 1. S(1)=6e" cos(21)-ela3y 4 ,0st22

A: Given :- The Laplace Transform of the following functions  ft = 6e5t cos 2t - ea+2t

Q: Find the Laplace transform, F(s), of the convolution cos(7t) * 8(t - 3) F(s) =

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Q: The Laplace Transform of f(t) = 1 + 3 sin 2t is Select one: 6. 1 O F(s) = - s2 +4 3s 1 O F(s) = - s²…

A:

Q: The Laplace transform of f (t) = 3{4,0st<2 1-4 is: t2 2 4-8e-2s F(s) 1+2e-25 F(s) = %3D O This…

A: We have to find the Laplace transform of the given function

Q: The Laplace transform of t sin t is O 2/(s &plus; 1) O 25/(s2 - 1)2 O 2/(s2 - 1) O 2/(s2 &plus; 1) O…

A: We have to find

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

A:

Q: What is the Laplace transform of: f(t)=5t+18+41²H(t-6)?

A: We have to find Laplace transform of given function.

Q: The Laplace transform of 1 a) √s (S-1) 1 √(√S-1) b) IC (VT) IS?

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t +…

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial…

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: The Laplace transform of f (t) = 5cos (7t) – 7e2t + 2t³ is: %3D

A: Given- ft=5cos7t-7e2t+2t3 To Find- The laplace transform of the above expression.

Q: 2. Find the Laplace Transform of b. f(t) = 4t²e-2t sin2t

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Q: a. Find the Laplace transform of f(t)=2e¯ cosh7t +te“ +12– cos9t cos 2t + (5t – 7)².

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Q: Find the Laplace transform of a) ƒ(t) = 3e-2t + 2 cos(t) – 5t3/2 b) f(t) = t*e3t

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Q: Find the Laplace Transform of f(t) = e2tu(t – 3) e3(s - 2) a. F(s) s-2 e3(2 - s) Ob. F(s) s-2 Oc.…

A:

Q: Find the Fourier Transform of Sa? – x², for |æ| a f(x) = and hence deduce that (sin s- s coss -) ds…

A: Fourier transform of gx=1 for x&lt;a0 for x&gt;a is ∫-aa1.e-isxdx. Calculate it:…

Q: The Laplace transform of (1+ sin 2t) is 1 a) 1 b) s* +4 1 d) s* +4 2 1 c) 2 ーナー 十- s² - 4 2.

A: Laplace transformation is used to find the solution of linear,constant coefficients ordinary and…

Q: Find the Inverse Laplace Transform. F (s) = 4(s+a)¯ – 2(s + 3)¯ -1 O 2e t-e-3t O 2e-at e-3t - O 2…

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Q: The Laplace transform of f (t) ={" f4 0<t<2 is: -4 t22 1+2e-25 F(s) F(s) = 4-8e 2s O This option O…

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Q: The Laplace transform of f(t) = e² cos2t is Select one: 2 а. s2+4 se2 b. s2+4 2(s+2) С. (s+2)²+4 2…

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Q: (b) Find the Laplace transform of the integral s[ (u cos 3u) du 8 F6

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Q: O Find the Laplace transform of e³ + 2tª – 4 cos 8t + ez + Vt3

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Q: The Laplace transform of t" is valid for s not equal to 0 O s0 O s>n

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Q: Find the Laplace transform of a) f(t) = 3e-2t + 2 cos(t) – 5t3/2 13. b) f(t) = t*e3t %3D

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Q: The inverse Laplace transform of 12 s2 - 4 is 15 ócos2t b. ósin2t c. 6sinh2t d. 6cosh2t

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Q: 2 The Laplace transform of f(t) =te' is F(s) = (s-17 Select one: O True O False

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Q: The Laplace transform of f (t) = cos(2t) + 2e-3t + 3t? is:

A:

Q: Find the Laplace transform of + 2 cos(t) – 5t3/2 a) f(t) = 3e-2t

A: L(f(t))=L(3e-2t+2cost-5t32)L(f(t)) =L(3e-2t) + L(2cost) +L(-5t32) L(f(t))=3L(e-2t )+2L(cost)-5L(t32)…

Q: The inverse Laplace transform of 7s s² + 36 where A and b are constants. Determine A and b. is A…

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Q: Find the Inverse Laplace transform of F(s) = 8Bs 7C (s + 3) (s - 4) (As − 1)

A: