3 Problem Sketch (by hand) the following function on the interval t = [-27, 47] and find its Laplace t form: f(t) = sin(t)- sin(t - a)H(t - a) where H(ta) is the unit step function delayed to start at time a = 27. Hint: Use the Laplace transform for a translated function.

Q: f(t) = sinhtcost

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Q: The Laplace transform of L(sin7t) is IS (s? + 7) (s? + 72) 7. (s2 - 72)

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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: i). ƒ (t) = ²) ² ii). ƒ (t) =t²sinh (21) (5–31

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Q: 3. cos?wt

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Q: Direction: Determine the Laplace Transform of the functions shown using Derivatives of Transforms or…

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Q: find the Laplace transforms of the following functions: (a) f(t) = (sinh 4t)(sin 5t) (b) g(t) =…

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Q: 1 Find the Fourier sine and cosine transform of ƒ(x)=

A: Use the Fourier Sine and Cosine transform table to obtain the result.

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Q: 2. ts) Use the table of Laplace Transforms and 1st shifting theorem to find the Laplace transform of…

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Q: Using the derivative theorem, find the Laplace transform of the following functions

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Q: 2. Determine the Laplace transform of the following functions. Here you may use common identities…

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Q: (a) Determine the Laplace transform of the following expression: te¹ sin 3t

A: To find the Laplace transform of the expression te-tsin 3t.  Using the Laplace formulae: Lsin…

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A: If F(s) is the Laplace transform of f(t), then it can be written that: Lf(t)=F(s). Using the table…

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A: Inverse Laplace transferom

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Q: Note:M=13 1. Find the Laplace transform of the function: f (t) = eMCosh(Mt) – Msin³ (t) + M sin(Mt)…

A: given function ft=eMt CoshMt-Msin3t+M sinMtcost here  M=13 thus, ft=e13t Cosh13t-13sin3t+13…

Q: 5. (Ci | Show that L{e"t"} = n! in two ways: (s- a)n+1 (a) Use the translation property for F(s).…

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Q: Q2) Use the Laplace transform tables in lecture notes to find the Laplace transform of each function…

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