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10 Nov 2019
Please show your work so that I can understand how to solve.Thanks
Using Invariance of Flow Around Write out the parametric integral for the circle C of radius 2 centered at the origin: (do NOT evaluate) (-ydx + xdy)/x2+2y2= Write out the parametric integral for the ellipse E parametrized by x[theta] = Cos[theta] and y[theta] = Sin[theta]/ : (-ydx + xdy)/x2+2y2= f Swirl[F]=0 and F is smoothly defined on the punctured plane |X| 0, show that F[X] dX gives the same value for any simple closed curve that has the origin in its interior. Find the value of both integrals above.
Please show your work so that I can understand how to solve.Thanks
Using Invariance of Flow Around Write out the parametric integral for the circle C of radius 2 centered at the origin: (do NOT evaluate) (-ydx + xdy)/x2+2y2= Write out the parametric integral for the ellipse E parametrized by x[theta] = Cos[theta] and y[theta] = Sin[theta]/ : (-ydx + xdy)/x2+2y2= f Swirl[F]=0 and F is smoothly defined on the punctured plane |X| 0, show that F[X] dX gives the same value for any simple closed curve that has the origin in its interior. Find the value of both integrals above.