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3 cards from this section. Quick, good the night before a test.
Find the Laplace Transform of e^{2t} when f(t) = 1.
Use the theorem to shift.
What is the result of the First Shifting Theorem for f(t) = t?
Identify the base transform first.
What is the formula for the First Shifting Theorem?
Focus on the transformation and the shift.
True or False: The condition s > a is essential for theorem application.
Remember the convergence aspects.
Given f(t) = t^2, find the Laplace Transform of e^{3t} * t^2.
Start with the basic transform and apply the theorem.
If f(t) = e^{-2t}sin(4t), find the Laplace Transform using the theorem.
Adjust for the exponential decay in sin.
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