Practice Special Case: Δ(t) (10.2.2) - The Dirac Delta Function (Impulse Function)

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6 sample questions

Question 1.
What does the Dirac Delta Function model?
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Think about sudden changes.
Question 2.
What is the value of the Laplace Transform of δ(t)?
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Consider what happens when a = 0.
3Question 3.
What is the value of the Laplace Transform of δ(t - 2)?
- e^(-2s)
- 1
- 0
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Think of the general formula for the delta function.
4Question 4.
True or False: The Dirac Delta Function can be considered a true function.
- True
- False
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Consider its behavior at points of interest.
Question 5.
Prove the Laplace Transform of δ(t) using integration.
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Start from the definition of the Laplace Transform.
Question 6.
Using a system described by dy/dt + 2y = δ(t - 3), solve for y(t) using the Laplace Transform.
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Use the shifting property and remember to apply inverse transformations.

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