Practice Convolution Theorem - 12.3.2 | 12. Inverse Laplace Transform | Mathematics - iii (Differential Calculus) - Vol 1
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Practice Questions

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Question 1

Easy

What is the Convolution Theorem?

💡 Hint: Think about how functions combine over time.

Question 2

Easy

List the components in the integral used in the Convolution Theorem.

💡 Hint: Focus on understanding how each part contributes.

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Interactive Quizzes

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Question 1

What is the formula for the convolution integral?

💡 Hint: Reflect on the integral components.

Question 2

True or False: The Convolution Theorem is used for the addition of two functions.

💡 Hint: Remember the core operations involved.

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Challenge Problems

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Question 1

Given two functions f₁(t) = e^{-2t} and f₂(t) = t^2, use the Convolution Theorem to find their convolution. Detail each step you take.

💡 Hint: Break the integrals into manageable parts.

Question 2

A control system is defined by the product of two Laplace transforms. Describe the process you would take to find the output in the time domain.

💡 Hint: Focus on the influence of each part individually.

Challenge and get performance evaluation