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Consider the vector field F = 2i+yj + (x + 2) k and the surface S defined as the surface of a cube with side length 3 centred at the origin. Use the divergence theorem to calculate the flux of F over the surface S, i.e. LF.ds. Enter this value in the box below (rounded to two decimal places if necessary).

Consider the vector field F = 2i+yj + (x + 2) k and the surface S defined as the surface of a cube with side length 3 centred at the origin. Use the divergence theorem to calculate the flux of F over the surface S, i.e. LF.ds. Enter this value in the box below (rounded to two decimal places if necessary).

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
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Consider the vector field F = 2i+yj + (x + 2) k and the surface S defined as the surface of a cube with side length 3 centred at the origin. Use the divergence theorem to calculate the flux of F over the surface S, i.e. [F.ds. Enter this value in the box below (rounded to two decimal places if necessary). Answer:
Transcribed Image Text:Consider the vector field F = 2i+yj + (x + 2) k and the surface S defined as the surface of a cube with side length 3 centred at the origin. Use the divergence theorem to calculate the flux of F over the surface S, i.e. [F.ds. Enter this value in the box below (rounded to two decimal places if necessary). Answer:
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