)for each vector field vector f(x, y,z), compute the curl of vector f and, if possible, find a function f(x, y, z) so that vector f = delta f. if no such function exists, enter none. suppose f vector (x, y, z) = (3yze^3xyz + 3z^2cos(xz^2))i vector + (3xze^3xyz)j vector + (3xye^ 3xyz + 6xz cos(xz^2))k vector. suppose vector f (x, y, z) = vector i /x + vector j / y + vector k / z. suppose vector f(x, y, z) = < -2y, 3x,7z> .

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem