S,F•dr, and C is the triangle, with Use Stokes Theorem to evaluate where F(x,y; =) = (x+ y² )i+ (vy+ =²)j+(=+x²)k vertices(1,0,0),(0,1,0) and (0,0,1) (Orientation of C should be counterclockwise when viewed from above).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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use stokes theorem to evaluate wher f(x,y,z)=(x+y^2)i+(y+z^2)j+(z+x^2)k and c is a traingle with vertices (1,0,0), (0,1,0),(0,0,1)

SF•dr,
Use
Stokes
Theorem
to
evaluate
where
F(x,y, =) = (x+ y² )i+ (y+ z²)j+(z+x²)k and C is
vertices (1,0,0),(0,1,0) and (0,0,1) (Orientation of C should be counterclockwise
the
triangle,
with
when viewed from above).
Transcribed Image Text:SF•dr, Use Stokes Theorem to evaluate where F(x,y, =) = (x+ y² )i+ (y+ z²)j+(z+x²)k and C is vertices (1,0,0),(0,1,0) and (0,0,1) (Orientation of C should be counterclockwise the triangle, with when viewed from above).
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