Results 1 to 2 of 2

Math Help - Surface Integral

  1. #1
    Super Member angel.white's Avatar
    Joined
    Oct 2007
    Posts
    723
    Awards
    1

    Surface Integral

    edit: Solved

    Evaluate the surface integral \int \int_S \vec F \cdot d \vec S for the given vector field \vec F and the oriented surface S. In other words, find the flux of \vec F across S. For closed surfaces, use the positive (outward orientation).

    \vec F(x,y,z) = y \vec j - z \vec k,
    S consists of the paraboloid y=x^2+z^2, 0 \leq y \leq 1
    and the disk x^2 + z^2 \leq 1, y=1



    I've thought about this for a bit, and I think it's a sideways half-circle with the base at y=1 and the apex at the origin. The correct answer is zero, I tried splitting it into two separate equations and adding their answers, which came out very nicely, but was not correct. I'm not sure how to set it up properly.
    Last edited by angel.white; July 31st 2008 at 08:28 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member angel.white's Avatar
    Joined
    Oct 2007
    Posts
    723
    Awards
    1
    Quote Originally Posted by angel.white View Post
    Evaluate the surface integral \int \int_S \vec F \cdot d \vec S for the given vector field \vec F and the oriented surface S. In other words, find the flux of \vec F across S. For closed surfaces, use the positive (outward orientation).

    \vec F(x,y,z) = y \vec j - z \vec k,
    S consists of the paraboloid y=x^2+z^2, 0 \leq y \leq 1
    and the disk x^2 + z^2 \leq 1, y=1



    I've thought about this for a bit, and I think it's a sideways half-circle with the base at y=1 and the apex at the origin. The correct answer is zero, I tried splitting it into two separate equations and adding their answers, which came out very nicely, but was not correct. I'm not sure how to set it up properly.
    I got together with a guy in my class and we got this solved.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Volume integral to a surface integral ... divergence theorem
    Posted in the Advanced Applied Math Forum
    Replies: 3
    Last Post: October 7th 2010, 06:11 PM
  2. The integral surface 2
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 26th 2009, 03:50 PM
  3. The integral surface
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 26th 2009, 03:44 PM
  4. Surface Integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: April 19th 2009, 12:04 PM
  5. Surface Integral Help
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 14th 2008, 03:13 AM

Search Tags


/mathhelpforum @mathhelpforum