Compute the following Laplace transforms: Problem 12 (a) L{3t4 + 4t² - 6t+8} (b) L{4e-3t-sin 5t)} (c) L{6t2 e2test sint}. (You may use the formulas provided below.)

Q: 8. te2tsin3t

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Q: Determine the Laplace Transform of each of the following by using the Table (or formulas) of Laplace…

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Q: The Laplace inverse of L-1 is (s – 3)² + 6² O el-34) sin 6t O e(3t) sin 6t O e(3t), Cos 6t O e(6t)…

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Q: FIND THE LAPLACE TRANSFORM OF THE FOLLOWING USING TABLES OF LAPLACE TRANSFORM AND ITS PROPERTIES.…

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Q: 11. sin (3t + 2)

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Q: 5 sin [ -5TT X<ST %3D otherwise

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Q: 5.) est cos 9t sin 6t

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Q: From a Laplace Transform form, we have the following expressions: s - w I) L{ewt cos(ßt)} (s – w)2 +…

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Q: Q: The Fourier representation of a function f(x): f(x) = {-10 V, 10 V, ーTくX x > 0 40 sinx sin3x…

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Q: 8 The inverse Laplace transform of the function is sin(3t) (A) t – 3 sinh(3t) (B) t- 3 sin(3t) (C)…

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Q: i). ƒ (1) = (5– 312) ² i). ƒ (1) =r2sinh (21) Find the Laplace transforms of the following…

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Q: (iii) Find Laplace transform of the following using the properties of the transform: te-3t (iv)…

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Q: 2. te-t + sinh(t)

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Q: FIND THE LAPLACE TRANSFORM OF THE FOLLOWING USING MATLAB MOBILE APP 1. 10t* – sin2t + 3t* – sin2t 2.…

A: The linearity property of laplace transform is La·ft+b·gt=a·Lft+b·Lgt.  And,Ltkft=-1kdkdskLft.

Q: 2t b) L[4t +5te” +sinh(5)]=

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Q: Find the inverse Laplace transform of the given function by use of a table or properties. F(s

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Q: Given that -9/s cos(9t) L{- Vnt Vi cos(9t). find the Laplace transform of L{V cos(9t)}

A: We find the required Laplace transform

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: 4s +4 (c) Find the inverse Laplace transform of Y(s) — ² + 4s +13) (d) Find the inverse Laplace…

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Q: FIND THE LAPLACE TRANSFORM OF THE FOLLOWING USING TABLES PROPERTIES. PLEASE SHOW COMPLETE SOLUTIONS…

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Q: FIND THE LAPLACE TRANSFORM OF THE FOLLOWING USING TABLES OF LAPLACE TRANSFORM AND ITS PROPERTIES.…

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Q: Find the Laplace transform of sint 0<t<27 f() =

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Q: sin 3at where a is any positive constant and s > a. WHAT IS THE LAPLACE TRANSFORM OF THIS?

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Q: e the inverse Laplace transform of

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Q: / [sec-(x) – csc²(x)]dr Evaluate: A e (x) - c«°(x) + C sec an(x) – cot(x) +C B esc (x) + sec³(x) + C…

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Q: FIND THE LAPLACE TRANSFORM OF THE FOLLOWING USING TABLES OF LAPLACE TRANSFORM AND ITS PROPERTIES.…

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Q: 25. Find the general solution of the equation dy = 2y + 2e-. dt (This equation is linear, but please…

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Q: Please do the Fourier transform of the following formula u₁(xo, Yo) = exp(- exp(-xo+yo) wo

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Q: L[sin(3t - 4n)]

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Q: Find the Fourier Sine Transform of the function f(x) = (ae-4* + be-3* + ce-2*) if x> 0 if a = 6, b =…

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Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…