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 = curl (F) d S. Note: It is expected that you should compute [F•dr C S both sides of this equation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter11: Topics From Analytic Geometry
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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.
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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