Mathematics
8 Online
OpenStudy (anonymous):
Help please! Will medal and fan... Algebra 2 question.
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OpenStudy (anonymous):
OpenStudy (anonymous):
@ganeshie8 Could you possibly help?
OpenStudy (anonymous):
I Have my answer but I need someone to check it for me.
OpenStudy (science0229):
Amplitude is the distance between the x-axis and the maximum value.
OpenStudy (science0229):
Period is the distance between 2 repeated points.
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OpenStudy (anonymous):
Is that right?
OpenStudy (science0229):
I agree with number 1.
OpenStudy (anonymous):
You mean the A part?
OpenStudy (science0229):
yeah.
OpenStudy (science0229):
I also agree with the values of theta at which maximums occur
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OpenStudy (science0229):
I don't agree with minimum nor zeros
OpenStudy (anonymous):
Okay how can I fix them
OpenStudy (science0229):
Every increment is pi/4, right?
OpenStudy (anonymous):
Right
OpenStudy (science0229):
So the minimum occurs at the first, third, fifth, and seventh increment, which is the same as pi/4, 3pi/4, 5pi/4, 7pi/4
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OpenStudy (anonymous):
Oh okay! I see! So that's the minimum?
OpenStudy (science0229):
yeah
OpenStudy (anonymous):
How can I get the zeros if my method was not correct? :/
OpenStudy (science0229):
notice that zeros pass the midpoint of each increment
OpenStudy (science0229):
assuming it's drawn to scale
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OpenStudy (anonymous):
Okay, what do I do with that information in order to apply it to the zeros?
OpenStudy (science0229):
The first x-intercept pass the midpoint of the first increment.
So, it would be (pi/4)/2=pi/8
OpenStudy (anonymous):
Okay, how can I find the rest of the numerical values in relation to the zeros, after pi/8? What calculation do I use?
OpenStudy (science0229):
also notice that every x-intercept is apart by pi/4
OpenStudy (anonymous):
So the next would be pi/12? :/
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OpenStudy (science0229):
pi/8+pi/4=pi/8+2pi/8=3pi/8
OpenStudy (science0229):
What's the next one?
OpenStudy (anonymous):
I don't know :(
OpenStudy (science0229):
The roots increase by pi/4 each time.
pi/8
pi/8+pi/4=3pi/8
pi/8+pi/4*2=5pi/8
pi/8+pi/4*3=7pi/8
...
pi/8+pi/4*7=15pi/8
OpenStudy (anonymous):
So the next would be 9pi/8?
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OpenStudy (science0229):
ok
OpenStudy (anonymous):
So how would I format that into one of the zeros?
OpenStudy (science0229):
all of the zeros would be (2k+1)pi/8 where k=0,1,2,3,4,5,6,7
OpenStudy (science0229):
i have to go
sorry
OpenStudy (anonymous):
ok thank you so much!