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The goal is to evaluate A = = SS(VxF) •n S A= where F = (5yz. -5xz, 5xy) and S is the surface of the upper half of the ellipsoid x² + y² +72²=1 (Z20). a. Evaluate a surface integral over a more convenient surface to find the value of A b. Evaluate A using a line integral.

The goal is to evaluate A = = SS(VxF) •n S A= where F = (5yz. -5xz, 5xy) and S is the surface of the upper half of the ellipsoid x² + y² +72²=1 (Z20). a. Evaluate a surface integral over a more convenient surface to find the value of A b. Evaluate A using a line integral.

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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The goal is to evaluate A = = [[(VxF) •nds, w S a. A = ds, where F = (5yz, -5x2,5xy) and S is the surface of the upper half of the ellipsoid x² + y² +72²=1 (z 20). a. Evaluate a surface integral over a more convenient surface to find the value of A b. Evaluate A using a line integral.
Transcribed Image Text:The goal is to evaluate A = = [[(VxF) •nds, w S a. A = ds, where F = (5yz, -5x2,5xy) and S is the surface of the upper half of the ellipsoid x² + y² +72²=1 (z 20). a. Evaluate a surface integral over a more convenient surface to find the value of A b. Evaluate A using a line integral.
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