consider a simple smooth closed curve C and a vector field F= Mi+Nj verifying the conditions of both forms of green’s theorem. Find a vector G=Pi+Qj (that is write P and Q in function of M and N) suc...

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consider a simple smooth closed curve C and a vector field F= Mi+Nj verifying the conditions of both forms of green’s theorem. Find a vector G=Pi+Qj (that is write P and Q in function of M and N) suc...

consider a simple smooth closed curve C and a vector field F= Mi+Nj verifying the conditions of both forms of green’s theorem. Find a vector G=Pi+Qj (that is write P and Q in function of M and N) such that the counterclockwise circulation of F along C = the outward flux of G across C.

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Answer 1

Answer #1

Given that, Also given that, counter-clockwise circulation of F along C- the outward flux of G across C. Therefore, by Green

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Answer 2

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consider a simple smooth closed curve C and a vector field F= Mi+Nj verifying the conditions of both forms of green’s theorem. Find a vector G=Pi+Qj (that is write P and Q in function of M and N) suc...

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consider a simple smooth closed curve C and a vector field F= Mi+Nj verifying the conditions of both forms of green’s theorem. Find a vector G=Pi+Qj (that is write P and Q in function of M and N) suc...