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6 Nov 2019
Determine if the following vector fields F are gradient fields. If there exists a function f such that Vf= F, find f. (If an answer does not exist, enter DNE.) (a) F(x, Y) (3x 3y -y sin(x), 6xyz cos(x)) rx, y) = (b) F(x, y, z) = (4x22, 2x2y2, 8y22) (x, y, z) (c) Fx, y) - (y3 +9, 3xy29) x,y) (a) F,- (eBxy, ye)36, sy) (d) F(x, y, z)= (xe x, y, z) Show transcribed image text
Determine if the following vector fields F are gradient fields. If there exists a function f such that Vf= F, find f. (If an answer does not exist, enter DNE.) (a) F(x, Y) (3x 3y -y sin(x), 6xyz cos(x)) rx, y) = (b) F(x, y, z) = (4x22, 2x2y2, 8y22) (x, y, z) (c) Fx, y) - (y3 +9, 3xy29) x,y) (a) F,- (eBxy, ye)36, sy) (d) F(x, y, z)= (xe x, y, z)
Show transcribed image text Jean KeelingLv2
6 Nov 2019