Question: Compute the 2D curl (which is Q - Py) for each of the vector fields F = (P,Q) described below. Is F definitely conservative

Compute the 2D curl (which is Q - Py) for each of

Compute the 2D curl (which is Q - Py) for each of the vector fields F = (P,Q) described below. Is F definitely conservative or definitely not conservative? Why? (a) F(x,y) = (ex,x+tan y) (b) F(x,y) = (y, 3xy) (c) F(x,y) = (+y +8) 2 Let C be the boundary of the unit square [0, 1] [0, 1] in R, oriented counterclockwise, and let F be the vector field F(x, y) = (e + x, x y). Evaluate the line integral [F C . dr.

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