MATH307 December 2010
• Q1 (a) • Q1 (b) • Q1 (c) • Q1 (d) • Q1 (e) • Q2 (a) • Q2 (b) • Q2 (c) • Q2 (d) • Q2 (e) • Q3 (a) • Q3 (b) • Q3 (c) • Q3 (d) • Q4 (a) • Q4 (b) • Q5 (a) • Q5 (b) • Q5 (c) • Q6 (a) • Q6 (b) • Q6 (c) • Q6 (d) • Q6 (e) • Q6 (f) • Q7 (a) • Q7 (b) • Q7 (c) •
Question 06 (d)
What points in the plane would you plot to produce a frequency-amplitude plot for the function in part (a)?
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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!
Recall that the frequency for
and that for complex coefficient , the amplitude is the modulus .
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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
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