Practice Proof (for n=1) - 7.7 | 7. Multiplication by tn (Power of t) | 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 Laplace Transform of 1?

πŸ’‘ Hint: Think of the integral from 0 to infinity.

Question 2

Easy

What is L{t}?

πŸ’‘ Hint: Remember the basic derivatives.

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 L{t * f(t)}?

  • F(s)
  • - (d/ds)F(s)
  • 0

πŸ’‘ Hint: Consider the relationship from the formula.

Question 2

The alternating sign in the multiplication property comes from:

  • True
  • False

πŸ’‘ Hint: Think about differentiation rules.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

If L{f(t)} = sin(t), compute L{t * f(t)} and provide step-by-step justification.

πŸ’‘ Hint: Follow through the differentiation carefully.

Question 2

For the function e^{-t} f(t) = e^{-t} * t^2, find the Laplace Transform and express using multiplication property.

πŸ’‘ Hint: Carefully differentiate according to the rules.

Challenge and get performance evaluation