Use a computer algebra system to plot the vector field F(x, y, z) sin x cos 2 y i sin 3 y cos 4 z j sin 5 z cos 6 x k in the cube cut from the first octant by the planes x y 2 , y y 2 , and z y 2 Then compute the flux across the surface of the cube

Question: Use a computer algebra system to plot the vector field F(x, y, z) = sin x cos 2 y i + sin 3 y cos

Use a computer algebra system to plot the vector field F(x, y, z) = sin x cos²y i + sin³y cos⁴z j + sin⁵z cos⁶x k in the cube cut from the first octant by the planes x = πy², y = πy², and z = πy². Then compute the flux across the surface of the cube.

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