-2/A person who was listening to a siren reported that the frequency of the sound changed with time, measured in seconds. The minimum frequency heart was 200 Hz, and the maximum frequency was 1200 Hz. The minimum frequency occurred att-0 andt - 18. The person also reported that, in 18 seconds, she heard the minimum frequency seven times (including the times at t-0 and t = 18). a) Determine an equation of a positive cosine function, f(t) that describes the frequency of this siren over time t. b) If we were to determine the equation of a negative sine function instead for part a), what would the phase shift be? Keep your answer as an exact value.
-2/A person who was listening to a siren reported that the frequency of the sound changed with time, measured in seconds. The minimum frequency heart was 200 Hz, and the maximum frequency was 1200 Hz. The minimum frequency occurred att-0 andt - 18. The person also reported that, in 18 seconds, she heard the minimum frequency seven times (including the times at t-0 and t = 18). a) Determine an equation of a positive cosine function, f(t) that describes the frequency of this siren over time t. b) If we were to determine the equation of a negative sine function instead for part a), what would the phase shift be? Keep your answer as an exact value.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Do question b) only.
Transcribed Image Text:- 2/A person who was listening to a siren reported that the frequency of the sound changed with time, measured in
seconds. The minimum frequency heart was 200 Hz. and the maximum frequency was 1200 Hz. The minimum
frequency ocurred at t-0 and t - 18. The person also reported that, in 18 seconds, she heard the minimum frequency
seven times (including the times at t-0 and t = 18).
a) Determine an equation of a positive cosine function, f(t), that describes the frequency of this siren over time t.
b) If we were to determine the equation of a negative sine function instead for part a). what would the phase shift be?
Keep your answer as an exact value.
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