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Another disagreement with course Line integral homework

  1. Apr 3, 2012 #1
    1. The problem statement, all variables and given/known data

    http://img39.imageshack.us/img39/6669/wileyplus.png [Broken]

    The field is conservative.

    With their description of C, and using the Fundamental Theorem of Calculus for Line Integrals, would you evaluate

    f(11/sqrt(2), 11/sqrt(2)) - f(0,0)

    or

    f(11/sqrt(2), 11/sqrt(2)) - f(11,0)

    ?


    Their description of C, to me, is that we start at the origin and end at (11/sqrt(2), 11/sqrt(2)).

    However, their "show solution" shows them doing:

    f(11/sqrt(2), 11/sqrt(2)) - f(11,0)


    Either I don't understand, or wiley plus has been wrong for the dozenth time. FYI my answer looks so strange because I kept changing it up to get it to accept.

    The whole point of path independence is that I don't give a crap about where the circle or whatever starts, the point (11,0) is completely irrelevant!
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Apr 4, 2012 #2

    ehild

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    It is not that simple. You have to integrate along a line from (0;0) to (11/√2;11/√2).

    You can choose the path between (0;0) and (11/√2;11/√2) as you like. One easy choice is along the x axis from (0;0) to (11/√2;0), then vertically up from (11/√2;0) to (11/√2;11/√2).

    Show your work.

    ehild
     
    Last edited by a moderator: May 5, 2017
  4. Apr 4, 2012 #3

    vela

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    Wiley Plus is wrong. You're right.
     
  5. Apr 4, 2012 #4

    ehild

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    1MikeCrash,
    yes, the solution in the gray box is correct. I did not realize that it was yours.

    ehild
     
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