1. Consider the function 8 2 2 F(:E,y) = {W ffttny) # (0,0) 0 1f(=v,y)= (0,0) (a) Show that for all linear paths t) with Tm) = {0, 0), 13] F('F(t)) = 0. (b) Show that for all paths of the form 3; = 111.192, ligth, T113122) = 0. (c) Show that for all paths of the form y = mm\" for s > 2, 11:3] F(z',m3:s) = 0. (d) Find a value q 50 that $113] F($, 32'?) 76 0