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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Loyal Chakma posted an Question
July 10, 2020 • 23:56 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Q.54 let c be the boundary of the region enclosed by y = x*, y = x +2, and x = 0. then the value of the line integral (xy-ydx- z'dy, where c is traversed in the
please can anyone solve this using Greene's theorem
3 Answer(s)
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Kiran goswami
if u satisfied then consider as answer.
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Loyal chakma
I feel it's ambiguous...please help me clarify that
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Loyal chakma
one last question ...why chose the one in 1st quadrant over the one in second quadrant?
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Loyal chakma
*separately.. .
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Loyal chakma
Green's theorem works on piece wise smooth curves too I guess.....so is it possible to treat the region in first quadrant and the other in the second quadrant desperately and add em up
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Arjun Yadav
so, it doesn't ticks all the requirements.
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Arjun Yadav
you must know the limitations of application of Green's Theorem. x=0 will be meaningless if you will include that region
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Arjun Yadav
C is boundary of the regions enclosed. Hence, it is not included. If you still have problem in understanding. You can refer to the theoretical portion in several books
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Loyal chakma
so why not included?
Piyush pachauri![best-answer]()
PFA.
sir , why we have not considered second quadrant region ( it is also bounded by y=x^2 , y=x+2, and x= 0 )?
I remember this ,My teacher told us that if there are regions like this then we always take the region in first quadrant until specifically asked for 2nd quadrant.