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

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
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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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