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Mathematics 6 Online
OpenStudy (babynini):

Centroids

OpenStudy (babynini):

OpenStudy (babynini):

@rvc @satellite73 if either of you are free :>

OpenStudy (anonymous):

i am free, but i have no idea how do you find a centroid? i guess we can look it up

OpenStudy (anonymous):

maybe they just want you to get rid of that silly compound fraction for the x coordinate

OpenStudy (anonymous):

ok here is a picture of the region http://www.wolframalpha.com/input/?i=8sin%282x%29,+8cos%282x%29+domain+0..pi%2F8

OpenStudy (anonymous):

and the area is \(4\sqrt2-4\)

OpenStudy (anonymous):

you got that part i guess

OpenStudy (anonymous):

is \[M_y=8\int_0^{\frac{\pi}{8}}x\cos(2x)-x\sin(2x)dx\]?

OpenStudy (babynini):

yeah..hm

OpenStudy (babynini):

for xbar I got \[\frac{ \pi/\sqrt{2} -2}{ 4\sqrt2-4 }\]

OpenStudy (anonymous):

ok i didn't get there yet, let me wolfram a sec

OpenStudy (anonymous):

yeah got that

OpenStudy (anonymous):

maybe clean it up by multiplying top and bottom by \(\sqrt2\)

OpenStudy (anonymous):

get \[\frac{\pi-2\sqrt2}{8-4\sqrt2}\]

OpenStudy (anonymous):

shall we try for \(\overline{x}\)?

OpenStudy (babynini):

ok! I need to clean up y because I have to enter them together xD

OpenStudy (babynini):

so ybar (pi-2)/(sqrt2 -1)

OpenStudy (anonymous):

i would leave it like that for \(\overline{x}\) i get 8 for the numerator

OpenStudy (anonymous):

oh also i think you have them backwards

OpenStudy (babynini):

x goes first no?

OpenStudy (astrophysics):

|dw:1457231257855:dw| is this your y bar

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