Q1. Let C be the boundary of the finite region joining the points (0,0), (2,0) and...

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Question

Answer 1

Answer #1

Given, $ 2xxy dxe & ex . (a) Along of, (2,0) # dy = 0 .: $ 2x2y dx = 0 Along AB, 2y = -x + 2 * dx = 0-2dy

| - 1 A8 Sea Cay) C-2) 45 - - + FC 4 + 47 - 08) - - i ( t 3-4) =-10jjCy+8 282) dg - - [ + - - -14 [J++ - ] 168 언

Along B0, x=0 dx = 0 $ 2x2y dx = 0 BO Therefore, $ 2x2y dx = {font 6 + 6 } 2x2y dx = 0+14) + = F WA

am 3 dxdy (b) Greens theorem is given by, & M dx + Ndy = { Since given integral - $ 2x²y de Here, M = 2xży , N = 0 om = px?

Hence, by Greens theorem ,

Answer 2

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