Practice Division by t in Laplace Transform - 8.1.2 | 8. Division by t (Inverse of Multiplication by s) | Mathematics - iii (Differential Calculus) - Vol 1
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8.1.2 - Division by t in Laplace Transform

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the Division by t rule relate to in the s-domain?

πŸ’‘ Hint: Think about what operation integrates a function.

Question 2

Easy

Is f(t)/t only applicable for continuous functions?

πŸ’‘ Hint: Consider the types of functions we discussed.

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 result of dividing a function by t in the time domain?

  • Integration
  • Differentiation
  • Multiplication

πŸ’‘ Hint: Think about the process of transforming into the s-domain.

Question 2

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

  • True
  • False

πŸ’‘ Hint: Consider the conditions mentioned in the text.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Prove the Division by t property mathematically using integral transformations.

πŸ’‘ Hint: Review definitions and think through the integration steps.

Question 2

Find the Laplace transform of e^(-at)/t using the Division by t rule, where a > 0.

πŸ’‘ Hint: Utilize integration techniques learned in calculus.

Challenge and get performance evaluation