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4 cards from this section. Quick, good the night before a test.
What does the Initial Value Theorem help us find?
Consider its relation to Laplace transforms.
What is one condition where IVT works?
Think about limits and continuity.
What is the Initial Value Theorem used for?
Think about the application of time in the theorem.
The Initial Value Theorem fails if ___?
Consider what conditions apply for the theorem to work.
Given F(s) = (s^3 + s)/(s^2 + 1), analyze via IVT and evaluate if f(0) exists. What implications arise?
Focus on decomposition of terms and expected behaviors to find continuity.
Consider F(s) = 1/(s(s+1)), analyze behaviors as s approaches 0 and near poles. Discuss misinterpretations in system designs.
Apply limit analysis and examine critical points of F(s).
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