11. [-/0.25 Points] DETAILS LARCALC11 15.1.039. Determine whether the vector field is conservative. F (x, y ) = xe* * 4/ (2yi + xj) O conservative O not conservative If it is, find a potential function for the vector field. (If an answer does not exist, enter DNE.) + K Need Help? Read It Watch It 12. [-/0.25 Points] DETAILS LARCALC11 15.1.041. Determine whether the vector field is conservative. F (x, V ) = _ 9y; - 9xz X O conservative O not conservative If it is, find a potential function for the vector field. (If an answer does not exist, enter DNE.) R( x, y ) = Need Help? Read It13. [-/0.125 Points] DETAILS LARCALC11 15.1.046.MI. Find the curl of the vector field at the given point. F(x, y, z) = x-zi - 2xzj + yzk; (3, -9, 9) curl F = Need Help? Read It Master It 14. [-/0.125 Points] DETAILS LARCALC11 15.1.050. Use a computer algebra system to find the curl of the vector field. F ( x, V, Z) = - XZ xy - z' X - x - y curl F = Need Help? Read It 15. [-/0.25 Points] DETAILS LARCALC11 15.1.054. Determine whether the vector field F is conservative. F ( x, y, z) = ye i + ze *j + xek O conservative O not conservative If it is conservative, find a potential function for the vector field. (If an answer does not exist, enter DNE.) f( x , V, Z ) = + C Need Help? Read It16. [-/0.125 Points] DETAILS LARCALC11 15.1.057. Find the divergence of the vector field F. F (x, y) = 2xzi + 2yzj Need Help? Read It 17. [-/0.125 Points] DETAILS LARCALC11 15.1.058. Find the divergence of the vector field F. F(x, y) = 2xe*i - 9x2,2j Need Help? Read It 18. [-/0.125 Points] DETAILS LARCALC11 15.1.060.MI. Find the divergence of the vector field F. F ( x, y, z) = In( 3x2+ 8y2 )i + 24xyj + In(By2 + 722)k F (x, y, Z ) = Need Help? Read It Watch It Master It19. [-/0.125 Points] DETAILS LARCALC11 15.1.061. Find the divergence of the vector field F at the given point. F(x, y, Z) = xyzi + xz j + 3yz