Suppose that F is a force field defined in a set D c R? Simply related. If for every simple closed curve C contained in D, it is satisfied that F * dr = 0, then a possible criterion for F %3| corresponds to: A) F(x, y) = (6xy, 3y2 + x) B) F(x, y) = (x² + 5xy, 5x + y?) C) F(x, y) = (3y sin(3x), cos(3x)) %3D D) F(x, y) = (yexy, xexy)

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...
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Suppose that F is a force field defined in a set D c R2
Simply related. If for every simple closed curve C contained in D, it is
satisfied that F * dr = 0, then a possible criterion for F
corresponds to:
А) F(x, у) %3D (6ху, Зу? + х)
В) F(x, у) 3D (x2 + 5ху, 5х + у?)
C) F(x, y) = (3y sin(3x), cos(3x))
=
%3D
D) F(x, y) = (yexy, xexY)
Transcribed Image Text:Suppose that F is a force field defined in a set D c R2 Simply related. If for every simple closed curve C contained in D, it is satisfied that F * dr = 0, then a possible criterion for F corresponds to: А) F(x, у) %3D (6ху, Зу? + х) В) F(x, у) 3D (x2 + 5ху, 5х + у?) C) F(x, y) = (3y sin(3x), cos(3x)) = %3D D) F(x, y) = (yexy, xexY)
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