Using Green's theorem, evaluate Fir) drcounterclockwise around the boundary curve C of the region R, where

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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Using Green's theorem, evaluate Fir)-dr counterclockwise
around the boundary curve C of the region R, where
15. w 2 In (+y)+xy, R: 15 ys 5-x2
4. F-(-. R the triangle with vertices (0, 0).
(2,0). (2. 1)
cos y,-e sin y), R the semidisk
10. F-[x In y. ye R the rectangle with vertices (0, 1).
(3, 1). (3. 2). (0. 2)
12. F .-xly], R: 1 S + ys 4, x20,
y2x Sketch R.
Transcribed Image Text:Using Green's theorem, evaluate Fir)-dr counterclockwise around the boundary curve C of the region R, where 15. w 2 In (+y)+xy, R: 15 ys 5-x2 4. F-(-. R the triangle with vertices (0, 0). (2,0). (2. 1) cos y,-e sin y), R the semidisk 10. F-[x In y. ye R the rectangle with vertices (0, 1). (3, 1). (3. 2). (0. 2) 12. F .-xly], R: 1 S + ys 4, x20, y2x Sketch R.
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