Graphing question: cos, sine.
Just to graph them both?
I'm checking your answers right?
amp is great! this looks like one cycle of the sin graph the length of that cycle (period) by doing b-a where b>a you know where b is the right endpoint and a is the left endpoint phaseshift number is great
\[y=8\sin(k[x+\frac{1}{2}])\] everything you wrote here is good except your k
well and the period as mentioned above
2pi/k=period once you find the period you can replace that word with period with the number you found for it and solve for k
Sorry, went to go eat dinner :P But i'm back!
ok well let me know what you think if you have any thoughts when you get done reading
So.. period = 3/2 so k =3pi?
period is 1/2+1 right so yes period is 3/2 now k checking k.... \[\frac{2\pi}{k}=\frac{3}{2} \\ 2 \pi(2)=3(k)\] oops looks you right on k to begin with
so your period is 3/2 and your k is 4pi/3 as you got before I image you just said period was 4pi/3 since k was 4pi/3 but that isn't the relationship between k and period
ah, so Amp=8 prd: 1.5 Phase s: -1/2 y=8sin(4pi/3(x+1/2))
yes I agree with that and we do not have to change the sign on the 8 this time since our max's and min's occur in the order of the max's and min's of the parent function y=8sin(x) you know we have the max 8 then the min -8 unlike the question before we had the max and min occurring in a different order then the parent function :)
anyways I have to do some things that involve very little math
unless you have any questions about this question
right, right. Nope it's all good :) Good luck with your maths!
Thanks ^-^
in the words of jennifer garner "good luck with fractions"
or at least her character on 13 going on 30
hahah. ey, I take that back actually. The homework thing marked the answer as wrong. y=8sin4pi/3(x+1/2) was marked wrong :|
the amp is right hmm the phase shift is at -1/2 let me check the k again \[\frac{2\pi}{k}=\frac{3}{2} \\ 2 \pi(2)=3k \\ \frac{4 \pi}{3}=k\] hmmm
http://www.wolframalpha.com/input/?i=y%3D8sin%284pi%2F3%28x%2B1%2F2%29%29 your graph matches this
there is nothing wrong with \[y=8 \sin(\frac{4\pi}{3}(x+\frac{1}{2}))\]
but hmm let me try to write it differently
one sec
actually no using cos won't work because it looks like they want sin because they were talking about sin but we could write it using cos
Right, I think it will mark it wrong if I were to use cos. but i'm not sure why it's not accepting it -.-
how many guesses can we have? I'm asking because maybe we can try to guess what the teacher meant but with the graph given this is definitely the answer
Er ,5. But I think I only have 3 left.
the only thing I can think I guess is maybe she meant to put pi's next to the numbers on the x-axis
but wait you said the period was not marked wrong right?
just the equation we got?
yeah amp=8 period=1.5 ps.=-1/2 are all correct. only the equation is wrong
ok just so you know y=8sin(4pi/3(x+1/2)) was the correct answer but what happens if you have write y=8sin(4/3(x+1/2)) don't try that if you already have though ?
I could try putting it in like: y=8sin(4 times pi/3(x+1/2)) ?
that would be weird if that made a difference
is it giving you an error message ?
like it is saying anything about how you are entering it
yeah it said it's wrong. the cos one is coming out wrong too :|
No it's not, it just marks it wrong.
the cos one we did before?
Yeah
Ah, I'm sorry this is taking so long :/
http://openstudy.com/users/babynini#/updates/5530703de4b0f0b1ce3ba56e but you said it was right here?
so the computer software changed its mind?
haha no, I didn't notice it had marked it wrong until now. Sorry about that.
oh! I found it out. It wanted a parenthesis around the k as well. So y=8sin(4pi/3(x+1/2))
computers are so dumb
like you know the interesting thing is that is now how they have their thingy above like they write y=a sin k(x-b) and not y=a sin(k(x-b))
not*
Dang right they are.
that is how I write mine as you see above but I think it is totally weird they wouldn't accept y=a sin k (x-b) when that is what they have
you know instead of y=a sin(k(x-b))
Yeah ._. I'm so sorry that took waay longer than it should have.
well it wasn't your fault it was the software your school or whoever chose or who ever programmed it to be weird like that
anyways peace
"whoever programmed it to be weird" xD Cya. You're the bomb!
lol later
:)
Join our real-time social learning platform and learn together with your friends!