(1) Consider the following functions on R2: (i) fi( x, y) = x, (ii) f2 (x, y) = -x, (iii) f3(x, y) = y, (iv) f4(x, y) = -y, (v) f5(x, y) = x+y, (vi) f6 (x, y) = x - y, (vii) f7(x, y) = -x+y, (viii) f8(x, y) = -x - y. (a) Which of those functions best represent the divergence and the (scalar) curl of the vector field F : R2 - R2 depicted below? Justify your answer. 30 20 10 -10 -20 -30 -30 -20 -10 0 10 20 30 (b) Come up with a concrete example of a vector field F : R- - R2 matching your answer in (a)