Consider the vector field `vec(F) = (: x 3 y^4, x 4 y" 3 :) Is this vector field Conservative v Select an answer Conservative If so: Not Conservative Find a function `f' so that 'vec(F) = nabla f f (x,y) = + K Use your answer to evaluate `int_C vec(F) * d vec(r)" along the curve C: vec(r) (t) = 3 cos(t) vec(i) + 3 sin(t) vec(j), \\quad 0 le t le pi/4