Consider the curve C which is the triangle with vertices (2, 0, 0), (0,2,0), and (0, 0, 2) with positive orientation. Also consider the vector field F (x, y, z) = (x+4y², y + z², z+x²) So F. dr

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
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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Please provide a clear and detailed solution with what theorems are used. 

Do not use the formula that I provided. Please solve without using it.

F.dS
ag
dA
=
- !! ( -p ²² - Q 245 + R) ²
ax
ay
D
Transcribed Image Text:F.dS ag dA = - !! ( -p ²² - Q 245 + R) ² ax ay D
Consider the curve C which is the triangle with vertices (2,0,0), (0,2,0), and (0, 0, 2) with positive orientation.
Also consider the vector field F (x, y, z)
(x+4y², y + z², z+x²)
So F. dr
=
Transcribed Image Text:Consider the curve C which is the triangle with vertices (2,0,0), (0,2,0), and (0, 0, 2) with positive orientation. Also consider the vector field F (x, y, z) (x+4y², y + z², z+x²) So F. dr =
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