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5. Let U be the part of the hyperboloid x² + y²+2 = 2z² shown below that lies below the plane z = 3 oriented with downward-facing normal vectors. Let F (x, y, z) = (-yz, xz, x² + y?). Find Sfy curl F ·d 5. %3D SU Mathematics

5. Let U be the part of the hyperboloid x² + y²+2 = 2z² shown below that lies below the plane z = 3 oriented with downward-facing normal vectors. Let F (x, y, z) = (-yz, xz, x² + y?). Find Sfy curl F ·d 5. %3D SU Mathematics

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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5. Let U be the part of the hyperboloid x? + y? + 2 = 2z2 shown below that lies below the plane z = 3 oriented with downward-facing normal vectors. Let F (x,y, z) = (-yz, xz, x² + y²). Find [f, curl F · d S. SU Mathematics
Transcribed Image Text:5. Let U be the part of the hyperboloid x? + y? + 2 = 2z2 shown below that lies below the plane z = 3 oriented with downward-facing normal vectors. Let F (x,y, z) = (-yz, xz, x² + y²). Find [f, curl F · d S. SU Mathematics
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