Question: n Problem 2: Use Green's theorem to evaluate fy(4x + y) dx + x(2x + 3y) dy around the ellipse+= 1. To simplify your calculations,

Problem 2: Use Greens theorem to evaluate ( oint_{C} yleft(4 x^{2}+y^{2}right) mathrm{d} x+xleft(2 x^{2}+3 y^{2}rightn
 

Problem 2: Use Green's theorem to evaluate fy(4x + y) dx + x(2x + 3y) dy around the ellipse+= 1. To simplify your calculations, make use of the parametrisation x = ar cost, y = br sin with 0r 1 and Jacobian abr.

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I 6x x2237 dy Fxx dx 217 F 50 y4 7 x12378 whore ellipse 1 By Greens theorem I ds dx dy diff... View full answer

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