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Let S be part of the outward-oriented hyperboloid of one sheet x² + y² = z² = 1 that lies within the sphere x² + y² +2²=3 Use the parameterization r(z,0) = (√1 + z² cos 0, V1 + z² sin 0, z) with appropriate lim- its to compute SS F.ds where F(x, y, z) = (y, -x,-z).

Let S be part of the outward-oriented hyperboloid of one sheet x² + y² = z² = 1 that lies within the sphere x² + y² +2²=3 Use the parameterization r(z,0) = (√1 + z² cos 0, V1 + z² sin 0, z) with appropriate lim- its to compute SS F.ds where F(x, y, z) = (y, -x,-z).

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 part of the outward-oriented hyperboloid of one sheet x² + y²-2² = 1 that lies within the sphere x² + y² + z² = 3 Use the parameterization r(z,0) = (√1 + z² cos 0, V1 + z² sin 0, z) with appropriate lim- its to compute SSS F.ds where F(x, y, z) = (y, -x, -z).
Transcribed Image Text:Let S be part of the outward-oriented hyperboloid of one sheet x² + y²-2² = 1 that lies within the sphere x² + y² + z² = 3 Use the parameterization r(z,0) = (√1 + z² cos 0, V1 + z² sin 0, z) with appropriate lim- its to compute SSS F.ds where F(x, y, z) = (y, -x, -z).
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