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Let C be the positively oriented circle x² + y² = 64 and suppose we have a vector field given by F(x, y) = (-9y³, 9x³). Use Green's Theorem to compute the work done by the field moving a particle once around the circle in a counterclockwise direction (i.e., evaluate the line integral § F. dr). The work done is

Let C be the positively oriented circle x² + y² = 64 and suppose we have a vector field given by F(x, y) = (-9y³, 9x³). Use Green's Theorem to compute the work done by the field moving a particle once around the circle in a counterclockwise direction (i.e., evaluate the line integral § F. dr). The work done is

Calculus: Early Transcendentals
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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Let C be the positively oriented circle x² + y² = 64 and suppose we have a vector field given by F(x, y) = (-9y³, 9x³). Use Green's Theorem to compute the work done by the field moving a particle once around the circle in a counterclockwise direction (i.e., evaluate the line integral § F. dr). The work done is
Transcribed Image Text:Let C be the positively oriented circle x² + y² = 64 and suppose we have a vector field given by F(x, y) = (-9y³, 9x³). Use Green's Theorem to compute the work done by the field moving a particle once around the circle in a counterclockwise direction (i.e., evaluate the line integral § F. dr). The work done is
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