Match the vector field with its graph. F ( X. V) = > O -64 O 2. [-/6.66 Points] DETAILS LARCALC11 15. 1.008. Match the vector field with its graph. F (x, y) = xi + 3yj O - 5 - O -6- O3. [-/6.66 Points] DETAILS LARCALC11 15.1.019. Find the conservative vector field for the potential function by finding its gradient. f ( x , y ) = x2 + 7 yz 4. [-/6.66 Points] DETAILS LARCALC11 15.1.023. Find the conservative vector field for the potential function by finding its gradient. F ( x, y, z) = 5xyz 5. [-/6.66 Points] DETAILS LARCALC11 15.1.037. Determine whether the vector field is conservative. F ( x , y ) = (2y - x2)i + (2x + y)j conservative not conservative If it is, find a potential function for the vector field. (If an answer does not exist, enter DNE.) f ( x , y ) = + K6. [-/6.66 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, 7) curl F = 7. [-/6.66 Points] DETAILS LARCALC11 15.1.057. Find the divergence of the vector field F F ( x, y) = 2x i + 2y j8. [-/6.66 Points] DETAILS LARCALC11 15.2.006. Find a piecewise smooth parametrization of the path C. (5, 4) 3 2 . ( (5 - t)i + (4 - -t)j, ost s 5 Or (t ) = 3 (t - 5) i, 5 5t59 4 (t - 9)j, 5i + 9