I am having some trouble with this question. Thank you so much in advance for your help

Suppose that the vector field F = < xy, x^2 y^3 > and C is the triangle oriented counterclockwise with vertices (0,0), (1,0), and (1,2).

a) Sketch this triangle by hand, and find the equations of these lines, but do not parameterize

b) Prove that F is not conservative

c) Using Green's Theorem, findc y^2 dx + 3 x y dy