Practice Distributive over addition - 13.1.5.3 | 13. Convolution Theorem | Mathematics - iii (Differential Calculus) - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define convolution in your own words.

πŸ’‘ Hint: Think about how two signals can influence one another over time.

Question 2

Easy

What does the distributive property of convolution state?

πŸ’‘ Hint: Consider the parts involved in the convolution and how they can be simplified.

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 definition of convolution?

πŸ’‘ Hint: Think of how two signals interact over time.

Question 2

Does convolution distribute over addition?

  • True
  • False

πŸ’‘ Hint: Recall the formula for the distributive property.

Solve 3 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given \( f(t) = t \) and \( g(t) = e^{-t} \), compute \( (f * g)(t) \) and verify the result using the Distributive Property.

πŸ’‘ Hint: Before integrating, think about parts you can simplify.

Question 2

Show that the output of a system described by the Laplace transform \( F(s) \cdot G(s) \) is equivalent to the convolution in time domain of the functions \( f(t) \) and \( g(t) \).

πŸ’‘ Hint: Break down each transformation to reveal the convolution aspect clearly.

Challenge and get performance evaluation