Evaluate the following Laplace transform. 1. L{10e¬5t cos 3t – 6e-5t sin 3t} 10s – 32 10s + 32 b.- s2 + 10s + 34 10s + 32 a.- "52 + 10s + 34 c. C. 2 – 10s + 34 d. none of the a.

Q: Find the Laplace transform of the following: 1. e3t cos 2t 2. sinh3 4t 3. tet-lu(t – 1) 4. t cosh 2t…

A: Solution is given below:

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 e-2* cos3t + 5e-2t sin3t (s+2) + 15 A) (s2+4s) + 13 15 + s2+9 В s2+9…

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Q: Find the Laplace Transform of the following: ² e4 - e-3' cos 2 t

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Q: s²+6s+9 L-1 Is3+s²-10s+8

A: Inverse Laplace transferom

Q: 23. Find the Laplace Transform of 4e3t cos 5t 48 a. (s-3)5 4(s-3) b. s2-65+34 nome of these

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Q: Find the Laplace transform of the following: 1. f(t)= (14t)-3e-7t cos(8t) - (2t-6)²

A: Here given function ft=14t92-3e-7tcos8t-2t-62orft=14t92-3e-7tcos8t-4t2-36+24t Use the basic property…

Q: Find the Laplace transform of the following: 1. e3t cos 2t 2. sinh3 4t 3. tet-lu(t – 1) 4. t cosh 2t…

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Q: Show your complete solution in finding the Laplace transform of the following: 3.1. 3.2 3.3

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Q: Evaluate the Laplace transform of tcos2t. O a. 6s2+ 24s+ 26 s°[(s+3)? +4} O b. s?+25 (s? – 49)? O c.…

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Q: Find the Laplace transform of the following: 1. e3t cos 2t 2. sinh3 4t 3. te-lu(t – 1) 4. t cosh 2t

A: 1) Given:    e3tcos 2t      Applying Laplace transform       Lft=Le3tcos 2t Apply transform rule:…

Q: Find the Laplace transform of 6e'cos2t - e 6(8– 5) (8 - 5)2+4 8-7 6s В (8 – 5) 2+4 S- 7 s2+4 s-7 (s…

A:

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: Which of the following is the laplace transform of f(t)=te 4t sin3t? O a. 6(s-4)/((s-4)^(2)+9)^(2) O…

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Q: Given that find the Laplace transform of √cos (8t) C{√/cos(8t)} = (-16)^(-8/s)/(88 (5/8)) CL cos(8t)…

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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: 1: Find Laplace transform for the following: 1. L{Vt e-3t} 2. L{(VE + 3)(2 – VE)}

A: 1. We have to find the Laplace transform of the following: Lte-3t We know that, Lft=FsLeatft=Fs-a…

Q: Find the Laplace transform of t², -8 + 3t, 2. g(t) = - 6)² + 2 cos cos (1-2), 6 0 2

A: given g(t) is defined in (0,2)

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: 2 Determine the Laplace transform of f(t)-te"sin(3t) s-4 a. (s²-3s+5)² 6s-12 b. (s²-2s-6)² s-4 C.…

A: Given function is f(t) = te2tsin(3t)

Q: Find the laplace Transform of the followng: Calffax) => + cos 2x + 2e 6ih (t) --2sinh(et) + Sin(3t)…

A: The solution is given as

Q: d the Laplace transform of the following: 1. f(t) = (14t) - 3e-7t cos(8t) - (2t - 6)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: Find the Laplace Transform of h(t) = t? sin(2t) = ='s 3s2-4 A H(s) = (s2+4) 2 482 – 3 B H(s) =…

A:

Q: Determine the Laplace Transform of the following: 1. te-3t + tcos2t + e-3icos2t 2. te-3'cos22t 3.…

A: Q2 asked and answered.

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: Find the Laplace Transform of cos(2t) + 7sin(2t) 14 A 7+4 + s2+4' s2-4 s+ 14 B 52+4 14 s2+4 s2+4 s-…

A:

Q: 23. Find the Laplace Transform of 4e3t cos 5t 48 a. (s-3)5 4(s-3) b. s2-6s+34 C. none of these

A: We have to find the Laplace transformation of e3tcos 5t.

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: Find Laplace transform of R) =-t+1#0st<1 OA 1 es OB 1 1 es OC. 1 1 OD Non of the above. OE 1 1 e-s…

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Q: The Laplace transform of t cos(4t)is : 2s-32s (s?+16) 2 82 (s2+16) 2 s(s? +16) 8 83 (s2 +16) 2s-96s…

A: We find Laplace transform of t2cos(4t)

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…

A:

Q: 1. t?cos2t 2. tsinh4t

A: Use the property of Laplace transform Ltnf(t)=-1ndndsn L f(t)  . Use the formulae of Laplace…

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 following: 1. 2s+8 s²+4 4s+32 2. s²-16 3. 2S-1 s²-6s+18

A:

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: Find the Laplace Transform of the following: 2 e4! - e-3' cos 2 t

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Q: Determine the Laplace Transform of the following: 1. te-3t + tcos2t + e-3tcos2t 2. te-3'cos22t 3.…

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Q: Q3: Find the solution of the Laplace transforms of the following functions: L-1 ¹ [-35 -3s2-12s-87…

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Q: f (t) = (2at -3t b. cos ( 3at + COS +

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Q: Determine the Inverse Laplace Transform of the following: 4 3 1. + 52+4s+4 + s2+2s+2

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Q: Determine the Laplace Transform of 2e' (cos 3t – 3 sin 3t) 2(s+10) А. s2-2s+10 2(s-10) C. s2-2s+10…

A:

Q: 4. Find the Laplace transforms of a) Sinh 3t cos²t | cos (t-2n/3), b) t > 2t/3 14, c) t'e'sin6t. t <…

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Q: 6s+3 L-1 Is++5s2+4.

A:

Q: Which of the following inverse Laplace transform is TRUE ? 3 s2+8] O B) 5! = te-2t %3D 1s+2)S O C)…

A:

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

A:

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

A:

Q: Find the Laplace Transform ofe 2 cos3t + 5e21 sin3t s+2 15 A g2+9 s2+9 (s+ 2) + 15 в (s2+4s) + 13 15…

A:

Q: Find the Laplace transform of e"Sinh(4t). а. 4 (s-3)' +16 Ob. s+2 (s+2) –16 None of these d. 4…

A: Hence option (d) is correct.