(1) Consider the following functions on R?: (1) fi(x, y) = z, () f(x, y) = -x, (iii) fa (x, y) = y. (iv) f. (x, y) = -y. () fs (I, y) = xty (vi) fo (, y) = x - y (vil) fr (I, y) = -cty. (vili) fa (I, y) = -x -y. (a) Which of those functions best represent the divergence and the (scalar) curl of the vector field F : R." -> R" depicted below? Justify your answer. 10 -20 -10 10 20 30 (b) Come up with a concrete example of a vector field F : R." > R' matching your answer in (a)