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17 Nov 2019
Find a potential function f (x, y) such that nabla f(x, y) = F(x, y) for the vector field F(x, y) = 2xe^-yi + (2y - x^2e^-y)j. You may assume that the vector field is conservative. b) Evaluate integral_c F middot dr where C consists of the line segment from (0, 0) to (-1, 2) followed by the line segment from (-1, 2) to (0, 4), followed by the line segment from (0, 4) to (1, 1).
Find a potential function f (x, y) such that nabla f(x, y) = F(x, y) for the vector field F(x, y) = 2xe^-yi + (2y - x^2e^-y)j. You may assume that the vector field is conservative. b) Evaluate integral_c F middot dr where C consists of the line segment from (0, 0) to (-1, 2) followed by the line segment from (-1, 2) to (0, 4), followed by the line segment from (0, 4) to (1, 1).
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Elin HesselLv2
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