A community for students.
Here's the question you clicked on:
 0 viewing
raheen
 3 years ago
Formulate and verify Green theroem when [P,Q]=[xy,1] and the curve (gama) is positively oriented circle containing the points:
A(0,0) > B(0,2) > C(1,1) > A(0,0)
raheen
 3 years ago
Formulate and verify Green theroem when [P,Q]=[xy,1] and the curve (gama) is positively oriented circle containing the points: A(0,0) > B(0,2) > C(1,1) > A(0,0)

This Question is Closed

NoxiPro
 3 years ago
Best ResponseYou've already chosen the best response.0so looks like you going positivly oriented around a triangle in the xy plane. Lets call the boundary T \[\int\limits_{∂T}^{}(xy)dx+1(dy)\] which according to brother green thats nothing more than \[\int\limits_{T}^{}\int\limits_{}^{}∂(1)/∂x∂(xy)/∂ydA\] which is nothing more than\[\int\limits_{T}^{}\int\limits_{}^{}xdxdy\] then you set up your paramerization A(0,0) > B(0,2) > C(1,1) > A(0,0) dw:1315809779023:dw now since you go clockwise in the A>B>C>A and in the drawing i go counterclockwise(positivly oriented) just put a () in front of the whole integral ∫∫(x)dxdy=∫∫xdxdy you may have to slipt it up into two different integrals dw:1315809979957:dw

NoxiPro
 3 years ago
Best ResponseYou've already chosen the best response.0∫[0,1]∫[x,1]x dydx+∫[0,1]∫[1,x+2]x dydx ∫[0,1]x(1x)dx+∫[0,1]x(x+1)dx 2∫[0,1]xx^2dx 2(x^2/2x^3/3)[0,1] 2(1/21/3) 12/3 1/3 should be your final answer or 1/3 and thats for the FLOW

NoxiPro
 3 years ago
Best ResponseYou've already chosen the best response.0OOPPPS i did a triangle when it was a circle. same concept ill draw and you can evaluate dw:1315810765086:dw those should be your bounds and evaluates the same but change it to rdrd(theta) because that integral looks like its from hell. Polars a lot nicer
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.