Consider the vector field F = (x + y) i+yj + 2k and the surface S defined as the surface of a cube with side length 2 centred at the origin. Use the divergence theorem to calculate the flux of F over the surface S, i.e. Enter this value in the box below (rounded to two decimal places if necessary). F. ds.

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Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
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Consider the vector field
F = (x + y) i+yj + 2k
and the surface S defined as the surface of a cube with side length 2 centred at the origin.
Use the divergence theorem to calculate the flux of F over the surface S, i.e.
Enter this value in the box below (rounded to two decimal places if necessary).
F. ds.
Transcribed Image Text:Consider the vector field F = (x + y) i+yj + 2k and the surface S defined as the surface of a cube with side length 2 centred at the origin. Use the divergence theorem to calculate the flux of F over the surface S, i.e. Enter this value in the box below (rounded to two decimal places if necessary). F. ds.
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