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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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