Lab6B_Ex4 - Exercise 4 1 f Θ ,Φ 5 Cos Θ 2 2 Cos Φ Cos...

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Unformatted text preview: Exercise 4 1 f Θ ,Φ 5 Cos Θ 2 2 Cos Φ Cos Φ Cos Θ ,5 2 5, 2 Cos Φ Cos Φ Sin Θ Sin Φ 5, Sin Φ 5 Sin Θ , 5 ABDSD ParametricPlot3D f Θ, Φ , Θ, 0, 2 Π , Φ, 0, 2 Π 6.0 5.5 z 5.0 4.5 4.0 2 4 x 6 8 2 4 6 y 8 2 2 Lab6B_Ex4.nb B x ,y ,z y , x, 5 z 6 BDS VectorFieldPlot3D B x, y, z , x, 2, 8 , y, 2, 8 , z, 4, 6 Show ABDSD, BDS, PlotRange 2, 8 , 2, 8 , 4, 6 5z y, x, 6 8 y 6 4 2 6.0 5.5 z 5.0 4.5 4.0 2 4 6 x 8 8 6 y 4 6.0 5.5 z 5.0 4.5 4.0 2 4 6 x 8 2 integrand Apply B, f Θ, Φ .Cross D f Θ, Φ , Θ , D f Θ, Φ , Φ Integrate integrand , Θ, 0, 2 Π , Φ, 0, 2 Π 5 Cos Θ 2 Cos Φ 2 Cos Φ Sin Θ 2 Cos Φ 2 2 Sin Θ 5 Sin Θ 6 2 2 Cos Θ Cos Φ 2 Cos Θ 10 Π2 3 3 2 Cos Θ Cos Φ Cos Θ 2 5 Cos Φ 2 Sin Θ 5 Sin Φ 2 Sin Φ Cos Φ Sin Φ Sin Φ Cos Φ Sin Θ Sin Φ Lab6B_Ex4.nb 3 t 1000 10 Π ^ 2 3 300 Π2 300 Batman have Π2 seconds before ABDSD fails. ...
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Lab6B_Ex4 - Exercise 4 1 f Θ ,Φ 5 Cos Θ 2 2 Cos Φ Cos...

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