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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 = 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.

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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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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