see attachment for equation. A sound wave is modeled with the given equation.
a. Find the period. Explain your method.
b. Find the amplitude. Explain your method.
c. What is the equation of the midline? What does it represent?
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OpenStudy (highschoolmom2010):
OpenStudy (misty1212):
HI!!!
OpenStudy (misty1212):
the period of \(\cos(bx)\) is \[\huge \frac{2\pi}{b}\]
OpenStudy (highschoolmom2010):
how do i find it though
OpenStudy (misty1212):
how do you find \(b\) ?
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OpenStudy (misty1212):
you have
\[\cos(\frac{2\pi}{3}\theta)\] what is \(b\)?
OpenStudy (misty1212):
it is the number in front of \(\theta\)
OpenStudy (highschoolmom2010):
|dw:1422293229540:dw|
OpenStudy (mkapad01):
That is incorrect
OpenStudy (mkapad01):
It is 3
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OpenStudy (mkapad01):
for the period
OpenStudy (mkapad01):
you use the equation pb=2pi
OpenStudy (mkapad01):
the amplitude is the number in front of cosine. In this case, it is 1/4
OpenStudy (mkapad01):
mid-line is at y=0 because there are no vertical shifts in the equation. The mid-line is where you initiate the amplitude. From the mid-line, you go the distance,up and down, of the amplitude.
***I HOPE I HELPED ****