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Use Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y²)i + (y + z²)j + (z + x²)k, C is the triangle with vertices (9, 0, 0), (0, 9, 0), and (0, 0, 9).

Use Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y²)i + (y + z²)j + (z + x²)k, C is the triangle with vertices (9, 0, 0), (0, 9, 0), and (0, 0, 9).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
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Use Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y²)i + (y + z²)j + (z + x²)k, C is the triangle with vertices (9, 0, 0), (0, 9, 0), and (0, 0, 9).
Transcribed Image Text:Use Stokes' Theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y²)i + (y + z²)j + (z + x²)k, C is the triangle with vertices (9, 0, 0), (0, 9, 0), and (0, 0, 9).
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