Use Stokes' Theorem to evaluate for F. dr. F(x, y, z) = 5xyi + 5yzj + 5zxk C where is the triangle in the plane x + y + z = 1 with vertices (1,0,0), (0, 1, 0), and (0,0,1), with a counterclockwise orientation looking from the first octant toward the origin. NOTE: Enter the exact answer. fo F. dr =
Use Stokes' Theorem to evaluate for F. dr. F(x, y, z) = 5xyi + 5yzj + 5zxk C where is the triangle in the plane x + y + z = 1 with vertices (1,0,0), (0, 1, 0), and (0,0,1), with a counterclockwise orientation looking from the first octant toward the origin. NOTE: Enter the exact answer. fo F. dr =
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 48E: Consider the point Ca,b. What is the image of C after a counterclockwise rotation of a 90 about the...
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![Use Stokes' Theorem to evaluate
fr
F. dr.
C
F(x, y, z) = 5xyi + 5yzj + 5zxk
where is the triangle in the plane x + y + z = 1 with vertices
(1, 0, 0), (0, 1, 0), and (0, 0, 1), with a counterclockwise orientation
looking from the first octant toward the origin.
NOTE: Enter the exact answer.
fo
F. dr =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbd77ba1-ba3f-4321-be5f-9df611b842bc%2F0e4a1701-c2f1-436f-8093-7ba16fa750e0%2Fc20yt36_processed.png&w=3840&q=75)
Transcribed Image Text:Use Stokes' Theorem to evaluate
fr
F. dr.
C
F(x, y, z) = 5xyi + 5yzj + 5zxk
where is the triangle in the plane x + y + z = 1 with vertices
(1, 0, 0), (0, 1, 0), and (0, 0, 1), with a counterclockwise orientation
looking from the first octant toward the origin.
NOTE: Enter the exact answer.
fo
F. dr =
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