Results 1 to 4 of 4

Math Help - Line integral of grad(f).

  1. #1
    Member
    Joined
    Feb 2010
    From
    NYC
    Posts
    98

    Line integral of grad(f).

    I really don't know where to begin on this one since all of my notes give me a vector; This looks like I'm given a gradient and I do not know what I need to do to start this.

    I do know however, that I will have to parametrize with spherical coordinates.

    But I do not know what theorem this is.

    If \(\vec F=\nabla (2x^{2}+5y^{3})\),
    find \(\int_C\vec{F}\cdot d\vec r\) where \(C\) is the quarter of the circle \(x^2+y^2 = 4\) in the first quadrant,
    oriented counterclockwise. <br />
\(\int_C\vec{F}\cdot d\vec r =\)
    Last edited by mr fantastic; April 12th 2011 at 07:02 PM. Reason: Re-titled.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,110
    Thanks
    2
    Why is the gradient not a vector? Find the vector form and have at it!
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Feb 2010
    From
    NYC
    Posts
    98
    I think I might of figured this one out:

    \int_{C}^{}F*dr=f(0,2)-f(2,0)
    =(2(0)^2+5(2)^3)-(2(2)^2+5(0)^3)
    32
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by Zanderist View Post
    I think I might of figured this one out:

    \int_{C}^{}F*dr=f(0,2)-f(2,0)
    =(2(0)^2+5(2)^3)-(2(2)^2+5(0)^3)
    32
    Correct.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: December 11th 2011, 11:30 PM
  2. grad
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 20th 2010, 11:29 AM
  3. grad
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 17th 2010, 03:48 AM
  4. grad
    Posted in the Calculus Forum
    Replies: 0
    Last Post: February 27th 2010, 11:26 AM
  5. grad f
    Posted in the Calculus Forum
    Replies: 0
    Last Post: February 26th 2010, 12:17 PM

/mathhelpforum @mathhelpforum