Let $F(x,y)=⟨9y-y^3,e^{\sqrt{y}}(x^2-3x)⟩$, and let $C_2$ be the oriented curve in Figure 1(B).

(a) Show that F$F$ is not conservative.
(b) Show that ∫C2F⋅dr=0${\int }_{C_2}F\cdot dr=0$ without explicitly computing the integral. Hint: Show that F$F$ is orthogonal to the edges along the square.

y 3 (B) C 3