Practice Applications of Second Shifting Theorem - 1.9 | 4. Second Shifting 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 the Second Shifting Theorem in your own words.

πŸ’‘ Hint: Think about how the Heaviside function roles in defining delays.

Question 2

Easy

What does the Heaviside unit step function represent?

πŸ’‘ Hint: Consider it as a switch that turns on at a specific time.

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 does the Second Shifting Theorem allow us to model?

  • Temperature changes
  • Delayed functions
  • Immediate responses

πŸ’‘ Hint: Think about scenarios where something starts after a delay.

Question 2

True or False: The Heaviside function is used to represent continuous changes.

  • True
  • False

πŸ’‘ Hint: Remember its characteristic of switching on and off instantly.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given f(t) = cos(t), find the Laplace Transform of cos(t - Ο€/2)u(t).

πŸ’‘ Hint: Break it down into using the Second Shifting Theorem step by step.

Question 2

Model a real-world system where a machine only starts after a timed input using the Second Shifting Theorem.

πŸ’‘ Hint: Consider how a conveyor might start only after a product is detected.

Challenge and get performance evaluation