10. Verify Stokes' Theorem for the vector field F = (y, 2x, 1) and the surface S, where S is the portion of the surface z = 6-x² - y² and the curve C is the intersection of this paraboloid and the plane z = 6+2y Assume a positive orientation. Recall that Stokes' Theorem states that fF.dr = ff curl(F)•d S. Note: It is expected that you should compute C S both sides of this equation.
10. Verify Stokes' Theorem for the vector field F = (y, 2x, 1) and the surface S, where S is the portion of the surface z = 6-x² - y² and the curve C is the intersection of this paraboloid and the plane z = 6+2y Assume a positive orientation. Recall that Stokes' Theorem states that fF.dr = ff curl(F)•d S. Note: It is expected that you should compute C S both sides of this equation.
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
Problem 2E
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![10. Verify Stokes' Theorem for the vector field F = (y, 2x, 1) and the surface S, where S is the portion of the
surface z = 6x² - y² and the curve C is the intersection of this paraboloid and the plane z = 6+2y Assume a
positive orientation.
Recall that Stokes' Theorem states that fF.dr = ff curl(F) •d S. Note: It is expected that you should compute
both sides of this equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F865fe2c2-18ba-48f5-b3ff-572ca369b061%2Fcd2d2ee6-5e1d-4b3a-aa55-81ccd29e7530%2F1scdus4_processed.png&w=3840&q=75)
Transcribed Image Text:10. Verify Stokes' Theorem for the vector field F = (y, 2x, 1) and the surface S, where S is the portion of the
surface z = 6x² - y² and the curve C is the intersection of this paraboloid and the plane z = 6+2y Assume a
positive orientation.
Recall that Stokes' Theorem states that fF.dr = ff curl(F) •d S. Note: It is expected that you should compute
both sides of this equation.
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