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Mathematics 22 Online
OpenStudy (anonymous):

One question!

OpenStudy (radar):

Do they want both the positive and negative maximums? I think they are only asking for the positive maximum values which occur at: 0, pi/2, pi, (3pi)/2, and 2pi.

OpenStudy (radar):

The minimums would be the maximum negative values that occur: pi/4, (3pi)/4, (5pi)/4, and (7pi/4)

OpenStudy (anonymous):

and how did you get that

OpenStudy (radar):

Zeros occur at: pi/8, (3pi)/8, (5pi/8), (7pi/8), (9pi/8), (11pi/8), (13pi/8), and (15pi/8)

OpenStudy (radar):

I got it from the picture. The maximum occurs whenever the waveform reaches "2" The minimum occurs when the waveform reaches -2. The zeros occur wherever it crosses the 0 line. The waveform is shown from 0 to 2 pi with increments of 1/4 pi on the scale. By observing the horizontal and the vertical you will be able to answer those questions.

OpenStudy (phi):

notice there are 4 "boxes" between 0 and pi. that means each step is pi/4 (and 1/2 of a step is pi/8) now just count.

OpenStudy (radar):

Yes, and what did you get for the period?

OpenStudy (radar):

If you look you will see that two complete cycles has occured from 0 to pi and please review my posts, pi/4 is not a maximum but is a minimum.

OpenStudy (anonymous):

oh then what is the max.. and is my amplitude and period right

OpenStudy (radar):

No single point can be both a max and a min. We are saying +2 is maximum value and -2 is minimum value.

OpenStudy (anonymous):

oh ok I got that!

OpenStudy (radar):

My very first post list the points that were "maximum"

OpenStudy (anonymous):

which the opposite are min right?

OpenStudy (radar):

Check each point and verify they are indeed maximum (+2) The amplitude is 2.

OpenStudy (radar):

The minimum points (-2) are listed in my second post, please check and verify, I am prone to error at age 74.

OpenStudy (radar):

No, please go to the top of this and read my very first post. I don't see pi/4, do you?

OpenStudy (radar):

Yes, so why did you post the above your post second up from here, maybe you are not reading your post.

OpenStudy (radar):

There are 5 max points There are 4 min points

OpenStudy (radar):

Yes if you verify and feel they are correct.

OpenStudy (radar):

There are 8 zero points.

OpenStudy (radar):

Go ahead and post it, I still don't know if you got the correct period.

OpenStudy (radar):

What does your text define period as?

OpenStudy (radar):

I see a space of pi/2 !

OpenStudy (radar):

For 4 complete cycles I see only 2pi

OpenStudy (anonymous):

so it has a period of 2pi?

OpenStudy (radar):

But I am not sure how you are defining period. My definition is in units of time, like milliseconds etc.

OpenStudy (radar):

Period only applies to a single cycle.

OpenStudy (radar):

I told you what I thought the period was and I did not say 2pi

OpenStudy (radar):

Period is the length of a SINGLE cycle. and looking at the picture it appears to me to be pi/2........what do you see?

OpenStudy (radar):

Please post your next problem, so many can provide you assistance.

OpenStudy (anonymous):

i posted it above

OpenStudy (anonymous):

do you see it

OpenStudy (radar):

No I mean post it on the left side.

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