> Use Stokes' theorem to calculate the line integral f (v² − z²)dx + (z² − x²)dy + (x² − y²)dz C Where C is the curve formed by the intersection of the cube surface: 0≤x≤ a, 0≤ y ≤ a, 0≤z≤a and the plane: x+y+z= rotating counterclockwise. 3a 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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> Use Stokes' theorem to calculate the line integral
f (v² − z²)dx + (z² − x²)dy + (x² − y²)dz
с
Where C is the curve formed by the intersection of the cube
surface:
0≤x≤ a,0 ≤ y ≤ a, 0≤z≤a
and the plane:
x+y+z=
rotating counterclockwise.
3a
2
Transcribed Image Text:> Use Stokes' theorem to calculate the line integral f (v² − z²)dx + (z² − x²)dy + (x² − y²)dz с Where C is the curve formed by the intersection of the cube surface: 0≤x≤ a,0 ≤ y ≤ a, 0≤z≤a and the plane: x+y+z= rotating counterclockwise. 3a 2
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