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HW_1 - from trigonometry that cos ωt-π 2 = sin ωt Let us...

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ECE 3085 HW #1 Due on 1.18.07 1. Prove the integration theorem. 2. Compute the Laplace transform of f ( t ) = tcos ( ωt ). 3. Compute the Laplace transform of f ( t ) = sin ( ωt ) , t 2 π/ω 0 , t > 2 π/ω 4. We have seen in class that the Laplace transform of cos ( ωt ) is s s 2 + ω 2 . Also, we know
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Unformatted text preview: from trigonometry that cos ( ωt-π 2 ) = sin ( ωt ). Let us apply the time-shift theorem. What should be the Laplace transform of sin ( ωt )? Is that what we got in class? If not, please explain. 1...
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