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3 cards from this section. Quick, good the night before a test.
What is the property of the Dirac delta function concerning symmetry?
Think about how the function behaves on both sides of the origin.
How do you express δ(ax) in terms of δ(x)?
Consider how the function scales.
What is the value of δ(0)?
Remember how the function behaves at its central point.
The property δ(-x) = δ(x) defines what characteristic of the Dirac delta function?
Think about symmetry.
A force F is applied at x=5 and modeled as Fδ(x-5). How would you express the total force over the region from x=0 to x=10?
Focus on the bounds of the integral and where δ(x-5) has an impact.
Consider a shifted delta function δ(x-2) in an integral from 0 to 5. What would the integral yield?
Identify the limits and the point where δ(x-2) is non-zero.
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