Practice Scaling - 10.2.3.2 | 10. Fourier Cosine and Sine Transforms | Mathematics (Civil Engineering -1)
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Typing
Memory
Math
English Adventures
Knowledge

10.2.3.2 - Scaling

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define scaling in the context of Fourier transforms.

💡 Hint: Think about how a function changes when its argument is modified.

Question 2

Easy

What happens to the Fourier transform of f(ax) if a > 1?

💡 Hint: Recall that scaling can stretch or compress functions.

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 scaling property in Fourier transforms?

  • A method to add functions
  • An operation that modifies the function's argument
  • A way to differentiate functions

💡 Hint: This relates to how we adjust inputs in mathematical transformations.

Question 2

True or False: Scaling only stretches functions.

  • True
  • False

💡 Hint: Consider how both high and low values can affect the graph of a function.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Analyze the effects of scaling on a modeled beam subject to a load that varies with length. Explain the theoretical implications for both short and long beams.

💡 Hint: Consider how material properties influence beam characteristics at different scales.

Question 2

You have a thermal system modeled with parameters that scale with wall thickness. How would scaling impact the heat diffusion analysis?

💡 Hint: Analyze how thickness alters thermal gradients over time.

Challenge and get performance evaluation