10.3 - Graphical Interpretation
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What does the Dirac Delta Function represent?
💡 Hint: Think of how it is used in engineering.
What is the integral of δ(t − a) over its range?
💡 Hint: This is one of its defining properties.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What value does the integral of δ(t − a) over all time evaluate to?
💡 Hint: Focus on the defining property of the function.
True or False: The Laplace Transform of δ(t) equals 0.
💡 Hint: Recall the Laplace Transform results we've discussed.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Prove that the integral from -∞ to ∞ of δ(t − a) equals 1, using a continuous function.
💡 Hint: Select an appropriate f(t) that you can evaluate easily.
Using the properties of the Laplace Transform, derive the transform of kδ(t − a) where k is a constant.
💡 Hint: Break the problem down to the basic form of the singular impulse first.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.