4. (16) pts. Green's Theorem. For given region R and vector field F; F =< −3y², x³ + x>; R is the triangle with vertices
Posted: Mon Jul 11, 2022 10:47 am
4. (16) pts. Green's Theorem. For given region R and vector field F; F =< −3y², x³ + x>; R is the triangle with vertices (0, 0), (1, 0), and (0, 2). a. Compute the two-dimensional curl of the vector field. b. Is the vector field conservative? c. Evaluate both integrals in Green's Theorem and check for consistency.