20082ee102_1_HW-4

# 20082ee102_1_HW-4 - =(ii The Laplace Transform F s of f t...

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SPRING 2008: Put First Letter * of LAST Name in the corner →→%% (* Otherwise Your HW will be LOST!) PRINT: (LAST, Middle, First):——————————————————– HW: # 4 A LATE HW IS NEVER A HW! Posted: April 23 Hand In: May 1 Attach This Sheet To Your HW 1. Find the Laplace Transform F ( s ) of f ( t ) given that f ( t ) = Z t 0 sin ( t - τ ) cos ( t - τ ) dτ, t 0 2. (i) Let F ( s ) denote the Laplace Transform of f ( t ). Then ( i ) L s { Z t 0 τf ( τ ) } = ? ( ii ) L s { Z t 0 τ 2 f ( τ ) }
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Unformatted text preview: = ? (ii) The Laplace Transform F ( s ) of f ( t ) is F ( s ) = s ( s + 1) [( s + 1) 2 + 1] 2 . Express f ( t ) as a Convolution Integral, which is such that its integrand does not contain a delta function. 3. Text Book: # 3.7 4. Text Book: # 3.12 5. Text Book: # 3.22 (i) 6. Text Book: # 3.22 (ii) → (a), (b) and (c). Note : You do not need to express f ( t ) as a Convolution Integral....
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