Three harmonic functions u, k = 1, 2, 3 are defined on the domain CR, k = 1,2,3 given as follows. Particularly, is a disk of radius 1, is a square of side length 2, and 3 is an equilateral triangle of side length 2. F (b) (a) (c) N3 On the boundary each function u, takes two values, 0 or 1. As indicated in the graph above, u(x, y) = 0 for all (x, y) on the dashed portion, whereas u(x, y) = 1 for all (x, y) on the solid portion. (a) Which k {1,2,3} has the largest value u(x, yk), where (x, y) is the (rotational) center of the domain ? (b) Which k {1,2,3} has the largest integral ff u(x,y)dady?