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: Use the divergence theorem to find the total flux of flow field F out of the 6 sides of a rectangular box that lies in the first octant with one vertex at the origin, the opposite vertex at (7,2, 5) and which has 3 of the faces on the coordinate planes. The flow field F is given by: -2. F(x,y,z) = (8x+e*)i + (cosx−5y)j + (ln(xy)+12z) k

: Use the divergence theorem to find the total flux of flow field F out of the 6 sides of a rectangular box that lies in the first octant with one vertex at the origin, the opposite vertex at (7,2, 5) and which has 3 of the faces on the coordinate planes. The flow field F is given by: -2. F(x,y,z) = (8x+e*)i + (cosx−5y)j + (ln(xy)+12z) k

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Problem #9: Use the divergence theorem to find the total flux of flow field F out of the 6 sides of a rectangular box that lies in the first octant with one vertex at the origin, the opposite vertex at (7, 2, 5) and which has 3 of the faces on the coordinate planes. The flow field F is given by: F(x, y, z) = (8x + ey²²) i )i + (cos x − 5y)j + (ln(xy) + 12z) k
Transcribed Image Text:Problem #9: Use the divergence theorem to find the total flux of flow field F out of the 6 sides of a rectangular box that lies in the first octant with one vertex at the origin, the opposite vertex at (7, 2, 5) and which has 3 of the faces on the coordinate planes. The flow field F is given by: F(x, y, z) = (8x + ey²²) i )i + (cos x − 5y)j + (ln(xy) + 12z) k
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