Consider the vector field = (4yz, 4xz + 1,4xy + 2z). The vector field is not conservative The vector field is conservative, and the potential function such that f(0, 0, 0) = 0 for ♬ is f(x, y) = If I is conservative, use f(x, y) to evaluate F. dr along a piecewise smooth curve (C) from C (0,2,1) to (3,5,0). F.dr LĒ C
Consider the vector field = (4yz, 4xz + 1,4xy + 2z). The vector field is not conservative The vector field is conservative, and the potential function such that f(0, 0, 0) = 0 for ♬ is f(x, y) = If I is conservative, use f(x, y) to evaluate F. dr along a piecewise smooth curve (C) from C (0,2,1) to (3,5,0). F.dr LĒ C
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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...
Question
![Consider the vector field = (4yz, 4xz + 1,4xy + 2z).
The vector field is not conservative
The vector field is conservative, and the potential
function such that f(0, 0, 0) = 0 for ♬ is
f(x, y)
=
If I is conservative, use f(x, y) to evaluate
F. dr along a piecewise smooth curve (C) from
C
(0,2,1) to (3,5,0).
F.dr
LĒ
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F916b3e43-3e70-4159-b0c4-23957999f35d%2Ff05dad1e-ae8c-46df-be04-ea5865884274%2Fimrichq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the vector field = (4yz, 4xz + 1,4xy + 2z).
The vector field is not conservative
The vector field is conservative, and the potential
function such that f(0, 0, 0) = 0 for ♬ is
f(x, y)
=
If I is conservative, use f(x, y) to evaluate
F. dr along a piecewise smooth curve (C) from
C
(0,2,1) to (3,5,0).
F.dr
LĒ
C
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