Unformatted text preview: ∂ ∂-∂ ∂ C C R d d dxdy y M x N r F r F 4. Calculate the area of the ellipse 1 2 2 2 2 = + b y a x by means of the formula ∫-= C ydx xdy A ). ( 2 1 5. BONUS QUESTION: Suppose ) , , ( = × ∫ C d z y x r F for all closed curves C in three dimensions. Prove or disprove that F ( x , y , z ) must be a constant vector....
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- Spring '10
- Vector Calculus, Manifold, Conic section, General topology