Question

Greens Theorem
calculate the circulation of f around the curve

Answer 1

F=yi+xj

Answer 2

@experimentX can u come by?

Answer 3

YAY

Answer 4

Ahh .. Green's theorem. Have to see ... haven't see in log long time.

Answer 5

http://en.wikipedia.org/wiki/Green's_theorem
Guess ... we will be discussing this

Answer 6

guesss lol

Answer 7

i think we have to switch to polar coordinates

Answer 8

actually u dont have to

Answer 9

do we have a curve?? If not then I think somehow we will have this
http://en.wikipedia.org/wiki/Green's_theorem#Relationship_to_the_Stokes_theorem

Answer 10

nah i think its the regualr

Answer 11

dr = i dx + j dy
\[ \int_c F.dr = \int_c ydx + xdy => apply Green's theorem \]

Answer 12

but what are the bounds?

Answer 13

int(1-1)=0?

Answer 14

=> \( \large \int \int _d (\frac {\delta x}{\delta x} - \frac {\delta y}{\delta y}) dxdy\)

Answer 15

looks like we are getting constant ... lol

Answer 16

ya lol

Answer 17

i think its gonna be zero

Answer 18

yeah .. perhaps, since it is definite integral.

Answer 19

Is there any more to the question other than what you posted? I feel like there should be more. Like the area is also bounded between axis' or something

Answer 20

ummm ya it says around the unit circle

Answer 21

hahah sorry abt that its just 4 am and i am zonnnkkkkeed

Answer 22

ah sweet. I'm pretty sure that this already applies but remember that you can only use greens thereom fro positive paths. You fcan find out if a path is positive if you imagine yourself walking on the path and having your left hand always inside the curve.

Answer 23

well the instructions state that i shld use greens theorem but ill keep this tip in mind for later on :D

Answer 24

If it's around the unit circle, then definitely it's not going to zero ... i suppose.

Answer 25

lol i wldnt know my book is horrible at explaining i think i need to go watch a video on utube

Answer 26

you have the answer?? i am super cheat ... you see.

Answer 27

lol nooo i wish i did

Answer 28

okay ... I'll try to salvage some info on the net.

Answer 29

wait i ay have the answer

Answer 30

this may be it idk i may be wrong

Answer 31

is the unit circle along the XY plane? and which path are you taking? if i am imagining this right the line you described is going through the unit circle, cutting it in half along a diagnol

Answer 32

answer seems logical ... but was there -x in the question??

Answer 33

i know so there may be smth off there so lets ignore the -x will it affect the rest?

Answer 34

it becomes 0 like we said b4 idk

Answer 35

uugghhhh sorry I told u its like 4 am i wrote the original rquation wrong
F=yi-xj

Answer 36

ok so then it is simpleee yay

Answer 37

I think it shouldn't give zero.

Answer 38

here's a similar example
http://tutorial.math.lamar.edu/Classes/CalcIII/GreensTheorem.aspx
Example 2

Answer 39

Thanks Experiment :DDD

Answer 40

can you check your question again??

Answer 41

Ya it is
F=yi-xj

Answer 42

it could be F = yi - xj

Answer 43

Damn ... so it was, then that solves the case.
Thank you too for the problem.

Answer 44

Ya it was my bad. Sorry i just have been sleeping lil the past few days so i am a lil out of it and making to many lil mistakes

Answer 45

it's all right .. I had the opportunity to review these things after long time.

Answer 46

Guess I've to give medal to other guy. He was pretty helpful.

Answer 47

lol hahahahhahahahah

Answer 48

I hate this that i can only give one medal its soooo annnoying like who shld i choose?

Answer 49

Well obv u but sometimes its a lil more difficult to decide