Exam 13: Extension E: Vector Calculus

Find the curl of the vector field F.

Find (a)the divergence and (b)the curl of the vector field F.

Find the curl of the vector field.

Find the curl of the vector field.

Let f be a scalar field.Determine whether the expression is meaningful.If so,state whether the expression represents a scalar field or a vector field. curl f

Let f be a scalar field.Determine whether the expression is meaningful.If so,state whether the expression represents a scalar field or a vector field.

Let

Determine whether or not vector field is conservative.If it is conservative,find a function f such that

Find the divergence of the vector field.

Let