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5 cards from this section. Quick, good the night before a test.
What is the Laplace transform of a constant function f(t) = 1?
Think about how constants behave in the s-domain.
What is the Laplace transform for f(t) = t?
Consider how polynomial transforms relate to factorials.
What is the Laplace transform of f(t) = cos(at)?
Focus on the placement of 's' and 'a' in the formula.
True or False: The Laplace transform of f(t) = t^n is given by n!/s^(n+1).
Try recalling the form of polynomial transformations.
Find the Laplace transform of the function f(t) = t^3 + e^(2t) + sin(5t).
Break it down into pieces using known transforms for each part.
A function is defined as f(t)= { 0, t<0; t^2, t≥0; e^(2t)sin(t), t≥0 }. Compute its Laplace transform.
You can handle each piece separately and apply known transforms!
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