1. [-/2 Points] DETAILS SCALCET8 16.5.003. MY NOTES PRACTICE ANOTHER Consider the given vector field. F(x, y, z) = 9xyezi + yzexk (a) Find the curl of the vector field. curl F = (b) Find the divergence of the vector field. div F =2. [I2 Points] DETAILS SCALCET8 16.5.007. MY NOTES PRACTICE ANOTHER Consider the vector field. F(x, y, z) = (4ex sin(y), 39y sin(z), 5ez sin(X)) (a) Find the curl of the vector field. curl F = (b) Find :he divergence of the vector field. divF= 5. [-/1 Points] DETAILS SCALCET8 16.5.013.MI. MY NOTES PRACTICE ANOTHER Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = Vf. (If the vector field is not conservative, enter DNE.) F(x, y, z) = 3y2z3 i + 6xyz3 j + 9xy2z2 k f ( x, y, Z ) =