2. Consider the vector field F = (cos(x) cos(y)e", - sin(x) sin(y)e", sin(x) cos(y)e*). 1. Use the component test to show that F is a conservative vector field. Show your work for credit 2. Compute a potential function for F, i.e. a function (1,4, 2) such that F=Vf. 3. Calculate the work W done by moving through the vector field F along a path C starting at the origin and ending at the point (5,0, In(3))