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 ...

Z 0 y 1 0 N WH 1 0 The 1 x By the Diver ...

Use a computer algebra system to plot the vector field F(x, y, z) = sin x cos

Question:

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.