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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the scaling property of the Dirac delta function?
💡 Hint: Think about how the argument affects both the delta function's shape and height.
Question 2
Easy
If δ(x) has an area of 1, what happens when you scale it to δ(3x)?
💡 Hint: Remember the area under the curve for the delta function should always be constant.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the scaling property state for the delta function?
- A) δ(ax) = aδ(x)
- B) δ(ax) = (1/a)δ(x)
- C) δ(ax) = (1/|a|)δ(x)
💡 Hint: Focus on correlating the changes to the function's amplitude.
Question 2
True or False: Scaling a delta function changes its area.
- True
- False
💡 Hint: Consider the fundamental properties of the delta function.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A concentrated load at δ(x) is scaled by a factor of 2 (i.e., δ(2x)). How would this scaling affect the load's representation, and what would the new amplitude be?
💡 Hint: Revisit the scaling property formula to check the relationship.
Question 2
Given δ(-3x) = ? How does scaling and the negative affect the function’s properties?
💡 Hint: Remember to consider what the absolute value means for the scaling.
Challenge and get performance evaluation