Science:Math Exam Resources/Courses/MATH307/December 2010/Question 06 (d)
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Question 06 (d) 

What points in the plane would you plot to produce a frequencyamplitude plot for the function in part (a)? 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Recall that the frequency for is and that for complex coefficient , the amplitude is the modulus . 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. From part (a), we figured out that . The modulus of this complex number, , is the amplitude of oscillation with frequency since L is equal to 1. We have that for . When , the amplitude is equal to which is from part (a). Therefore the points for a frequency amplitude plot are given by 