Practice Applications - 8.1.5 | 8. Division by t (Inverse of Multiplication by s) | 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

What is the Division by t Rule in Laplace transforms?

💡 Hint: Think about transforming functions divided by time.

Question 2

Easy

What theorem is used to switch integration during the proof?

💡 Hint: It helps in changing the order of integration.

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 main purpose of the Division by t rule?

  • To multiply functions
  • To convert functions into s-domain using integration
  • To differentiate functions

💡 Hint: Consider how division affects average operations.

Question 2

True or False: The Division by t rule can be applied to any function irrespective of continuity.

  • True
  • False

💡 Hint: Focus on the required conditions for the function.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Derive the Laplace transform of 1-cos(at)/t using the Division by t rule and interpret the result.

💡 Hint: Break down the cosine function’s transform first.

Question 2

Discuss how the Division by t rule relates to solving a differential equation with terms divided by time.

💡 Hint: Think about how equations are structured in differential problems.

Challenge and get performance evaluation