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Math Help - Using gradient vector field to find value of f

  1. #1
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    Using gradient vector field to find value of f

    Hi,
    Here's the problem which is stumping me:

    Suppose that
    If , find .



    Here's what I tried:


    I thought to parametrize a path between f(0,0,0) and f(3,3,3) to no avail.



    r(t)=(1-t)<0,0,0>+t<3,3,3> -2; 0<t<1
    r'(t)= <3,3,3>


    Then I attempted to take line integral of f(r(t)) dot r'(t) from 0->1, but did not receive the correct answer.


    Any thoughts?
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  2. #2
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    Anyone...?
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