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Let S be the surface in R' that is the part of the ellipsoid 2x2 + y² + z? = 2 satisfying y > 1. Consider the vector field F(x, y, z) = (z, z² log.(y) + cos(xyz), –x).

Let S be the surface in R' that is the part of the ellipsoid 2x2 + y² + z? = 2 satisfying y > 1. Consider the vector field F(x, y, z) = (z, z² log.(y) + cos(xyz), –x).

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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Let S be the surface in R' that is the part of the ellipsoid 2x2 + y² + z² = 2 satisfying y > 1. Consider the vector field F(x, y, z) = (z, z² log.(y) + cos(xyz), –x). Compute //, curl F · dS. (You should assume that S has the same orientation as the positive orientation of the ellipsoid.) Paragraph BI Path: p II
Transcribed Image Text:Let S be the surface in R' that is the part of the ellipsoid 2x2 + y² + z² = 2 satisfying y > 1. Consider the vector field F(x, y, z) = (z, z² log.(y) + cos(xyz), –x). Compute //, curl F · dS. (You should assume that S has the same orientation as the positive orientation of the ellipsoid.) Paragraph BI Path: p II
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