Find the Laplace transform of the following: 1) (t-2)2et-1u(t-2)

Q: √²³₁(−12xy² + 8x³y + 3)dxdy

A: LetWe have to evaluate the above integral.

Q: -3(1-cosh 377t) t

A: We are given : -3(1-cosh 377t)t Let, f(t)=-3(1-cosh 377t)t Now, L-3(1-cosh…

Q: Determine the Laplace transform of the following 5t3 + 4t2-3

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Q: Construct the inverse matrix (if it exists) for the following matrices: [12 61 (а) А %— 4 2. 1 -2]…

A: We will find out the required solution.

Q: 4x-y<-1

A: Given  4x-y&lt;1 Can be rewritten as y&gt;4x-1 So we take the area above the line y = 4x -1 And all…

Q: g(t) = 10rect [²(t+³)] ej²¹ 5 ej²nfot j2πfot

A: What is Fourier Transformation: A Fourier transform (FT) is a mathematical transformation that…

Q: Find the Laplace Transform of h (t) = t2 e-3t (*+3)" 4. (8+3) (8-3)" (s13)"

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Q: Let Rt) be the inverse Laplace transform of 7s2 + 15s – 6 F(s) = (s? + 6s + 10)(s – 2) What is 3/2)?

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Q: a) G₁(s) = 32-35+2 b) G₂ (8) = 3²+28+1 d) G4(s) = 2-e-3s = 82

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Q: Find the inverse Laplace transform of -1344+192s-5s5 -7s5+56

A: We have to find the inverse Laplace transform of the function.

Q: Determine the Laplace transform. L{2et - t +6}

A: Given equation for Laplace transformation is L2e-t-t4+6

Q: Calculate the Inverse Laplace transform of the following. Please write down all the steps of your…

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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: L{e-2t cos3t}

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Q: 3 Find the inverse Laplace transform for (s-2)2+9 (a) e-2t sin3t (b) e2t sin3t (c) 3e-3t sin2t (d)…

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Q: 2. Calculate the inverse Laplace transform: 2s (a) C- C-¹ { 25+32 }; (b) C-¹ ( 25-3₂} 2s L-1

A: We have to find the Laplace inverse transformation of and

Q: Find the Laplace Transform of the following: 1) 5t5 - 6t + 5

A: Given: 5t5-6t+5 To find the Laplace transform of the given expression L5t5-6t+5 The formula for the…

Q: Find the inverse Laplace transform of 7s + 3 82 + 17 8 >0

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Q: Find the inverse Laplac Transform of the following functions: 1 (i) s2+2s+1 s3 -s2+s–1 (iii) TD-2)…

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Q: 2-5s (s-6)(s2 +16)

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Q: h(t) 8t - 7t³, ²+3t-4, 0st <2 122

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Q: Find the inverse Laplace transform of 42s + 34 (s – 3)(s² + 2s + 5)

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Q: Find the inverse Laplace transform (show the details of your work) of a(s + k) + br 44. (s + k)? +…

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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: Q1. a) Derive the Laplace transform of 3e4t from first principles (i.e. without using the list of…

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Q: The inverse Z-transform of the function x{z): for (1+2 (2-2)

A: Given, x(z)= 11+z-12-z-1 for ROC 12&lt;z&lt;1 Now,         x(z)= z2z+12z-1 Using partial fraction,…

Q: Find the Laplace transform of f (t) = te2t sin 6t 12s+24 |(s)²+36 12s-24 2 (s-2)° +36| 12s…

A: Correct ans is =option B

Q: 3. Find the inverse Laplace transform. a) 8s2 − 4s + 12/s(s2 + 4)

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Q: Find the inverse laplace 1.) F(S)= 5-2 5-45+5 laplace transform

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Q: Find the Inverse Laplace Transform of the following: 8s2 –4s+12 1. F (s) 53+4s

A: The solution is given as

Q: f(t) = te3t cosh 4t s2-6s-7 А. (s2-6s+25)2 s2-6s+7 С. (s2-6s-25)2 s2-6s+25 3. (s2-6s-7)2 s2-6s-25 D.…

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