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Flea problem

  1. Nov 19, 2005 #1
    [tex]
    T(x,y,z) = x^2 - y^2 + z^2 + xz^2
    [/tex]

    [tex]
    3x^2 - y^2 - z = 0
    [/tex]

    [tex]
    2x^2 + 2y^2 - z^2 = 0
    [/tex]

    [tex]
    \bigtriangledown T (x,y,z) = (2x + z^2, -2y, 2z(1+x))
    [/tex]
    [tex]
    \bigtriangledown T (1,1,2) = 2(3, -1, 4)
    [/tex]
    [tex]
    D_{\overrightarrow{v}}(1,1,2) = \bigtriangledown T(1,1,2).\overrightarrow{v} = 2(3v_1 - v_2 + 4v_3)
    [/tex]
    [tex]
    T_1 = (6x, -2y, -1)
    [/tex]
    [tex]
    T_2 = (4x, 4y, -2z)
    [/tex]
    [tex]
    T_1 = (6, -2, -1)
    [/tex]
    [tex]
    T_2 = (4, 4, -4)
    [/tex]
    [tex]
    \overrightarrow{n} = T_1\ \mbox{x}\ T_2 = (12, 20, 32) = 4(3,5,8)
    [/tex]
    [tex]
    ||\overrightarrow{n}|| = 4\sqrt{9 + 25 + 64} = 28\sqrt{2}
    [/tex]
    [tex]
    \frac{2.7.4}{28\sqrt{2}} (3.3 - 5 + 4.8) = 33\sqrt{2} \frac{°C}{s}
    [/tex]
     
    Last edited: Nov 19, 2005
  2. jcsd
  3. Nov 19, 2005 #2
    I don't know how to delete my thread, I was preparing the TeX graphics and in the meanwhile I already found the solution...please could someone delete it?

    Thank you and sorry.
     
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