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20101ee102_1_EE102HW3

20101ee102_1_EE102HW3 - Find the limit of F(s a as Re s →...

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EE102 Winter 2010 HW #3 1. Find the Laplace transform of the following function: 1 0 1 ( ) 0 1 t f t t = < < ∞ What is the region of convergence? Denote the transform by F(s). Find the limit of F(s): a) as Re( ) s → ∞ b) as 0 s 2. Find the Laplace transform of the following function: 3 ( ) 0 t f t e t = < ∞ What is the region of convergence? Denote the transform by F(s). Find the limit of F(s) as 0 s 3. Find the Laplace Transform of the following function: 17 ( ) 3 4 5 0 f t t t t = + + < ∞ Denote the transform by F(s).
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Unformatted text preview: Find the limit of F(s): a) as Re( ) s → ∞ b) as s → 4. Find the Laplace Transform of the following function: 2 ( ) ( 1) t f t e t t δ =-≤ < ∞ 5. Find the Laplace Transform of the derivative of functions in problem 1, 2, and 3 a) By the Derivative Laplace Transform formula: ' ( ) ( ) (0 ) f f L s sL s f + =-b) By directly taking the derivative and then applying the Laplace Transform. Explain the difference if any...
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