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13 Nov 2019
2. Determine whether the vector field, F, is conservative or not. If it is, find a potential function, f, so that F = âf.
(a) F(x, y) = (y + 4x^3 + y^6 )i + (âx + 6x^4 y^5 )j
(b) F(x, y) = (3x^2 y^3 + y^4 )i + (3x^3 y^2 + y^4 + 4xy^3 )j
2. Determine whether the vector field, F, is conservative or not. If it is, find a potential function, f, so that F = âf.
(a) F(x, y) = (y + 4x^3 + y^6 )i + (âx + 6x^4 y^5 )j
(b) F(x, y) = (3x^2 y^3 + y^4 )i + (3x^3 y^2 + y^4 + 4xy^3 )j
Lelia LubowitzLv2
8 Jun 2019
