#3 If a force field is 'conservative' then a line integral is independent of path of af axdy a) Show F(x,y) =e i-xe ' j defines a conservative vector field. The force field is a gradient field for some function ... F(x,/)=( To Te ax ay b) Find a function f such that F=VS . The fundamental theorem of line integrals ... | F-dr=f (r(b))-f (r(@)) c) Use part b) to evaluate [ F-dr along any curve from P to (); P(0, 1), Q(2,0)