[tex](adsbygoogle = window.adsbygoogle || []).push({});

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]

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# Flea problem

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