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.
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
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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