2. Consider the following region R and the vector field F. (a) Compute the two-dimensional divergence of the vector field. (b) Compute the two-dimensional curl of the vector field. (c) Evaluate both...

B1

Extracted text: 2. Consider the following region R and the vector field F. (a) Compute the two-dimensional divergence of the vector field. (b) Compute the two-dimensional curl of the vector field. (c) Evaluate both integrals in the circulation form of Green's Theorem and check for consistency. (d) State whether the vector is conservative. F =< -3y,="" 3x=""> R is the triangle with vertices (0,0), (1,0), (0,2).