Consider the vector field F and the curve C below. F( x , y ) = (2 + 6x3)i + 6x2vi. C is the arc of the hyperbola y = 1/x from (1, 1) to (4, 1 ) (a) Find a potential function f such that F = VF. R(x , y ) = (b) Use part (a) to evaluate Vf . dr along the given curve C