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.
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.
Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
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Hi can you help me out please?
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cc9240c-ebf6-415a-a24b-903e68d7ef50%2F1365445d-723e-450f-9c03-5c66bdd92c84%2F0sfvw3k_processed.png&w=3840&q=75)
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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