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2 cards from this section. Quick, good the night before a test.
What must be true about f(t) for IVT to apply?
Think about the conditions needed for a function to be transformable.
Why should lim t→0+ f(t) exist?
Consider the importance of finite values in mathematical functions.
What condition must f(t) meet for IVT to be applicable?
Consider what continuity means for functions.
True or False: IVT can be applied to functions that include Dirac delta functions at t=0.
Think about continuity requirements.
Given the function F(s) = 2/(s^2 + 3s + 2), find the initial value at t=0 and address whether IVT conditions are met.
Start by calculating the limit and consider how the quadratic behaves.
Design a piecewise function f(t) where IVT fails, explaining the reasoning.
Think about what discontinuity means in relation to limits.
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