Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
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
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.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What happens to a function when it is scaled in time by a factor of 2?
💡 Hint: Remember how speed affects time duration.
Question 2
Easy
Write the formula for the Fourier Transform of a time-scaled function.
💡 Hint: Think about how the scaling factor appears in the equation.
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 effect of scaling a function in time?
- Affects the amplitude only
- Changes the frequency representation
- Has no effect
💡 Hint: Think about how speeding up a signal affects its tone.
Question 2
Time scaling contracts the signal in the time domain and what occurs to the frequencies?
- True
- False
💡 Hint: Consider how shorter durations relate to higher pitches.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Let f(t) = sin(t). Apply a time scaling of 'a=3/2'. Derive the new Fourier Transform.
💡 Hint: Focus on multiplying with the scaling factor.
Question 2
In a civil engineering context, analyze how a time-scaling adjustment for response data in a seismic event could change interpretation of results.
💡 Hint: Think about the implications of observing quicker oscillations.
Challenge and get performance evaluation