Results 1 to 2 of 2

Math Help - Green's theorem

  1. #1
    Newbie
    Joined
    May 2008
    Posts
    5

    Question Green's theorem

    Use Green's theorem in the plane to evaluate the work integral
    W = ∫c F. dr = ∫ (3x y)dx + (x + 2y) dy
    where C is the boundry of the ellipse x+2 + 4y^2 = 9
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by tulip View Post
    Use Green's theorem in the plane to evaluate the work integral
    W = ∫c F. dr = ∫ (3x – y)dx + (x + 2y) dy
    where C is the boundry of the ellipse x+2 + 4y^2 = 9
    Where exactly are you stuck?

    Note that the given ellipse can be re-written as \frac{x^2}{3^2} + \frac{y^2}{(3/2)^2} = 1 so a = 3 and b = 3/2. And you know that the area of an ellipse with major and minor axes 2a and 2b is \pi a b, right .....?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help with Green's theorem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 13th 2010, 09:32 PM
  2. green's theorem
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: April 4th 2010, 04:40 AM
  3. Green's Theorem
    Posted in the Calculus Forum
    Replies: 0
    Last Post: February 26th 2010, 08:11 AM
  4. Green's Theorem
    Posted in the Calculus Forum
    Replies: 8
    Last Post: August 8th 2007, 02:48 PM
  5. Green's Theorem
    Posted in the Calculus Forum
    Replies: 8
    Last Post: January 30th 2007, 10:04 AM

Search Tags


/mathhelpforum @mathhelpforum