(1) Consider the following functions on R2: (i) fi (x, y) = x, (ii) f2 ( x, y) = -z, (ii) f3 ( x, y) = y, (iv) fa (a, y) = -y, (v) f5 (2, y) = xty, (vi) f6 (x, y) = x - y, ( vii) f7 (a, y) = -aty, (viii) f8 (a, y) = -x- y. (a) Which of those functions best represent the divergence and the (scalar) curl of the vector field F : R' -> R2 depicted below? Justify your answer.30 P 20 10 / 0 -10 -20 -30 -30 -20 -10 0 10 20 30 (b) Come up with a concrete example of a vector field F : R -> R matching your answer in (a)