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Mathematics 18 Online
OpenStudy (kimberly_pr):

Need help!! Will medal and fan!!

OpenStudy (kimberly_pr):

The graph of the sine curve below is of electromagnetic energy that represents red light:

OpenStudy (kimberly_pr):

What function accurately represents the sine curve for red light?

OpenStudy (kimberly_pr):

And I have the answer choices: f(x) = sin pi over 640x f(x) = sin 640πx f(x) = sin 320πx f(x) = sin pi over 320x

OpenStudy (kimberly_pr):

Hey @Mehek14 can you help please?

OpenStudy (kimberly_pr):

Or @fairytail_lover

OpenStudy (kimberly_pr):

Or @nincompoop @jigglypuff314 @mayankdevnani @Preetha

OpenStudy (kimberly_pr):

Or @agent0smith @welshfella

OpenStudy (kimberly_pr):

Or @ILovePuppiesLol @just_one_last_goodbye @sammixboo

OpenStudy (kimberly_pr):

Hey @agent0smith do you know how to do this?

OpenStudy (agent0smith):

First. Find the period from the graph

OpenStudy (agent0smith):

Then your function will be sin(bx) where \[\large period = \frac{ 2\pi }{ b}\] solve for b

OpenStudy (kimberly_pr):

Is the answer sin320 pi x (answer choice C)

OpenStudy (kimberly_pr):

Wait no, I think that's wrong :/ I'm confused

OpenStudy (kimberly_pr):

The period is 640, so 640= 2pi/b ... And then where do I go from there?

OpenStudy (agent0smith):

Well, you need b, so... :P

OpenStudy (agent0smith):

And I don't care what the answer choice is, just work out the correct function first

OpenStudy (kimberly_pr):

But what would the b be? It doesn't say anything about the b?

OpenStudy (agent0smith):

Solve for b. You have the equation for it above

OpenStudy (kimberly_pr):

I got about 4,021 :/

OpenStudy (agent0smith):

640= 2pi/b solve for b. Keep everything exact, ie leave pi as pi.

OpenStudy (kimberly_pr):

OHH, ok. Sooo 1,280 pi = b

OpenStudy (agent0smith):

No...

OpenStudy (welshfella):

first cross multiply 640b = 2 pi now what is b?

OpenStudy (agent0smith):

\[\large 640= \frac{ 2\pi }{ b}\]multiply both sides by b

OpenStudy (kimberly_pr):

Ok so 640b = 2 pi

OpenStudy (kimberly_pr):

What do I do next? Divide by 2?

OpenStudy (agent0smith):

You want to get b alone... so divide both sides by 640

OpenStudy (kimberly_pr):

Ohh, ok so b = 2 pi/ 640

OpenStudy (kimberly_pr):

But that's not an answer choice... what do I have to do next?

OpenStudy (kimberly_pr):

Oh wait, now that I have b I can plug it in the formula right?

OpenStudy (kimberly_pr):

So 640 = 2 pi/ (2 pi/ 640) ???

OpenStudy (agent0smith):

^nooooo "Ohh, ok so b = 2 pi/ 640" Simplify that first. Then plug into sin(bx)

OpenStudy (welshfella):

you can simplify 2 pi/640 divide top and bottom by 2.

OpenStudy (kimberly_pr):

Ok so pi/ 320

OpenStudy (kimberly_pr):

And now I have to do sin (pi/320) ?

OpenStudy (kimberly_pr):

I got 0.000171347

OpenStudy (kimberly_pr):

?

OpenStudy (agent0smith):

Noooooooo "Then plug into sin(bx)" You forgot the x.

OpenStudy (welshfella):

theres no need to work out pi/320 just leave it like that

OpenStudy (kimberly_pr):

Ohhh, so is the answer D? f(x) = sin pi/320 x

OpenStudy (welshfella):

yea

OpenStudy (kimberly_pr):

YAY, thanks :) Can you guys help me with another question? :/

OpenStudy (kimberly_pr):

I will be back in 20 minutes and will tag you in my question. THANKS! :)

OpenStudy (agent0smith):

I'll be gone by then, there's a fancy lunch that requires my eating skills

OpenStudy (welshfella):

luck for some!! lol!

OpenStudy (agent0smith):

Yep it's an open bar too :D

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