Answer:
Assume C is a circle centered at the origin, oriented counterclockwise, that encloses disk R in the plane. Complete the following steps for the vector field F = (9x, 3y). a. Calculate the two-dimensional curl of F. b. Calculate the two-dimensional divergence of F. c. Is F irrotational on R? d. Is F source free on R? a. The two-dimensional curl of F is b. The two-dimensional divergence of Fis irrotational on R because its (2) - c. F (1) zero throughout R. - is (3) source free on R because its (5) - d. F (4). zero throughout R. is (6) (1) Ois O is not (2) curl divergence (3) equal to not equal to (4) O is is not (5) divergence O curl (6) O equal to O not equal to