c) By using Green's theorem evaluate OUIM GUTM U where C is a closed curve starting from the origin to point (0, 1) along I. (try – y°) da + (x* + 3ry) dy the y-axis, then to point ( ) along the semi-circle

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Chapter6: Topics In Analytic Geometry
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Please solve the following problem using Green's theorem.

 

c) By using Green's theorem evaluate
UT
(4ry – y*) dx + (x* + 3xy) dy
where C is a closed curve starting from the origin to point (0, 1) along
the y-axis, then to point
SUIM Ở UTM Ở UTM
E) along the semi-circle
x = -V1- y?, then on a straight line, back to the origin.
UTM UTM
Transcribed Image Text:c) By using Green's theorem evaluate UT (4ry – y*) dx + (x* + 3xy) dy where C is a closed curve starting from the origin to point (0, 1) along the y-axis, then to point SUIM Ở UTM Ở UTM E) along the semi-circle x = -V1- y?, then on a straight line, back to the origin. UTM UTM
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