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July 10, 2020 6:26 pm 30 pts
please can anyone solve this using Greene's theorem
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see attachment
Loyal chakma
after solving I got 0.533 but the answer is 0.8
• Deepak singh
there is confusion whether second quadrant included or not , I think there is problem in question .
Loyal chakma
I have been trying this whole evening sirš©...I don't know why it doesn't work using greens but it works using simple line integral technique
• Piyush
PFA.
Deepak singh
sir , why we have not considered second quadrant region ( it is also bounded by y=x^2 , y=x+2, and x= 0 )?
See this. I hope it helps
Loyal chakma
why wasn't the region in the second quadrant included?
work on your calculations. See if it matches with my solution.
Loyal chakma
yes sir! its fine till we don't consider the region in the second quadrant..but why the region in the second quadrant cannot be considered?
in question, it is clearly given that region is bounded between other two and x=0
Loyal chakma
okay then mate it is!
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
you must know the limitations of application of Green's Theorem. x=0 will be meaningless if you will include that region
• Vishal goswami
if u satisfied then consider as answer.