The calculation of this integral by the use of the green theorem equals (- a(π^2)/2) Using Green's theorem, evaluate the line integral f (y − x²) dx − (x + y²)dy, - where the contour Cencloses the sector of the circle with radius a lying in the first quadra 0= x/2 A 8 O True D R 5

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The calculation of this integral by the
use of the green theorem equals (-
a(π^2)/2)
Using Green's theorem, evaluate the line integral
(y-x²) dx - (x + y²) dy,
C
where the contour C encloses the sector of the circle with radius a lying in the first quadrant
0= x/2
A
➤0=0
True
False
0
R
C
a
Transcribed Image Text:The calculation of this integral by the use of the green theorem equals (- a(π^2)/2) Using Green's theorem, evaluate the line integral (y-x²) dx - (x + y²) dy, C where the contour C encloses the sector of the circle with radius a lying in the first quadrant 0= x/2 A ➤0=0 True False 0 R C a
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