Use Stokes' Theorem to find the line integral [((x² + x + 2y²)i + (y + z³)j + (z + 2x²)k) · dr where C' is the boundary of the triangle T with vertices (1, 0, 0), (0, 1, 0), (0, 0, 1) and oriented counter-clockwise when viewed from above.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 7E: Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a...
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use the stokes theorem

Use Stokes' Theorem to find the line integral
:+ 2y°)7 + (y + z*)j + (z + 2a*)k) • dř
where C is the boundary of the triangle T with vertices (1,0,0), (0, 1,0), (0,0, 1) and
oriented counter-clockwise when viewed from above.
Transcribed Image Text:Use Stokes' Theorem to find the line integral :+ 2y°)7 + (y + z*)j + (z + 2a*)k) • dř where C is the boundary of the triangle T with vertices (1,0,0), (0, 1,0), (0,0, 1) and oriented counter-clockwise when viewed from above.
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