. Consider the following problem:Let F(x, y)=x +5y, x2. Let C be the path consisting of the line segments from the point(0,1) to the point (1,1) and then from the point (1,1) to the point (2,2), graphed below.Calculate CF dr.0.511.5211.52(a) Explain why F is not a conservative vector field.(b) Explain why F not being conservative makes the Fundamental Theorem of Line IntegralsCF dr = f (r(b)) f (r(a))an invalid approach to solving this problem. It is not sufficient to just say that F is notconservative. (Hint: Consider the relationship between F and f .)(c) Calculate CF dr for the given problem.4