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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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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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