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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, 4, 6) and which has 3 of the faces on the coordinate planes. The flow field F is given by: F(x, y, z) = (3x + e¹²²)i + (cos.x - 5y)j + (ln(xy) + 13-) 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, 4, 6) and which has 3 of the faces on the coordinate planes. The flow field F is given by: F(x, y, z) = (3x + e¹²²)i + (cos.x - 5y)j + (ln(xy) + 13-) k

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 21E
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#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, 4, 6) and which has 3 of the faces on the coordinate planes. The flow field F is given by: F(x,y,z) = (3x+e)i + (cosx−5y)j + (ln(xy)+13:) k
Transcribed Image Text:#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, 4, 6) and which has 3 of the faces on the coordinate planes. The flow field F is given by: F(x,y,z) = (3x+e)i + (cosx−5y)j + (ln(xy)+13:) k
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