Use Green's theorem to calculate.(2x³ – y*)dx + (x³ +y*)dy, where C is the boundary of the annular region described by r 4

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Use Green's theorem to calculate S,(2x³ – y°)dx + (x³ + y)dy, where C is the
boundary of the annular region described by r 4< x² + y? < 9 Note: use region
D: {(r, 8)|0 < 0 < 2n, 2 < r < 3} in a positive sense.
The parameterization of the curves is: x = rcost, y = rsent, dA = rdrd0
Transcribed Image Text:Use Green's theorem to calculate S,(2x³ – y°)dx + (x³ + y)dy, where C is the boundary of the annular region described by r 4< x² + y? < 9 Note: use region D: {(r, 8)|0 < 0 < 2n, 2 < r < 3} in a positive sense. The parameterization of the curves is: x = rcost, y = rsent, dA = rdrd0
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