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C'alculate | (ydæ – xdy)] wherein y(t) (2cos(t), 2sin(t)), 0 < t < 27, is an circumference that delimits the set K = {(x, y) E R²; a² + y? < 4}

C'alculate | (ydæ – xdy)] wherein y(t) (2cos(t), 2sin(t)), 0 < t < 27, is an circumference that delimits the set K = {(x, y) E R²; a² + y? < 4}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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apply the Green's theorem

answer: 4π

C'alculate | (ydæ – xdy)] wherein y(t) (2cos(t), 2sin(t)), 0 < t < 27, is an circumference that delimits the set K = {(x, y) E R²; a² + y? < 4}
Transcribed Image Text:C'alculate | (ydæ – xdy)] wherein y(t) (2cos(t), 2sin(t)), 0 < t < 27, is an circumference that delimits the set K = {(x, y) E R²; a² + y? < 4}
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