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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the value of δ(t−2) when t = 3?
💡 Hint: Evaluate the condition where t does not equal 2.
Question 2
Easy
What is the integral of δ(t−1) from -∞ to +∞?
💡 Hint: Recall the defining property of the Dirac Delta Function.
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 is the value of δ(t) when t = 0?
- 0
- ∞
- 1
💡 Hint: Think about the definition of the Dirac Delta Function.
Question 2
The Laplace Transform of δ(t−a) is equal to:
- e^(-as)
- 1
- k * e^(-as)
💡 Hint: Recall the formula we derived.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the equation d^2y/dt^2 + 3dy/dt + 2y = δ(t−2), solve for y(t) and provide the solution using Laplace Transforms.
💡 Hint: Break it down with impulse response considerations.
Question 2
A system is defined with L(s) = (2s + 3)/(s^2 + 5s + 6). How does this equation behave when an impulse input δ(t) is applied at multiple points?
💡 Hint: Make sure to evaluate at each impulse point.
Challenge and get performance evaluation