Decide if the given vector field is the gradient of a function f. If so find f. (Remember to use absolute values where appropriate. If an ane does not exist, enter DNE.) 7.7.R f(x, y, z) In(x)+In(y) + In(z) x+c. If not, explain why not. 1.1 is the gradient of a function. y is not the gradient of a function because the curl of the field is not equal to zero. x y z 1+1+is not the gradient of a function because the field is not path independent. x y 1+1+is not the gradient of a function because the field has no potential function. xyz is not the gradient of a function because dr +0 for every closed curve C.