Use Stokes' Theorem to evaluate [F·dr where F = (x + 7z)i + (10x + y)j + (8y − z) k and C is the cur of intersection of the plane x + 3y + z = 18 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use Stokes' Theorem to evaluate F. dr where F = (x + 7z)i + (10x + y)j + (8y − z) k_and C is the curve
of intersection of the plane x + 3y + z = 18 with the coordinate planes.
(Assume that C is oriented counterclockwise as viewed from above.)
Transcribed Image Text:Use Stokes' Theorem to evaluate F. dr where F = (x + 7z)i + (10x + y)j + (8y − z) k_and C is the curve of intersection of the plane x + 3y + z = 18 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.)
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